I wouldn't mix them. It can look very odd to have a shiny item right next to a very dull item on a floor. And tumbled travertine is VERY pourous and will get VERY dirty VERY quickly...and it is pitted MUCH MORE than polished. Tumbled travertine floors are VERY hard to live with (they are softer than marble). Polished is impressive...It would be like sitting an glorious ice cube next to a dirty sponge. It would be hard to marry the two even if the colours match.

Fistr get rid of all the yellow hued lighting or what ever you choose will either not look good at night or not look good in the natural light. Change the lighting to all LEDs in4000K if you like the natural light best Then IMO no more beige at all. Is that tile behind the lighting? If so that should be removed it works with nothing and really makes no sense there.

I know this is an old post but I wanted to chime in. I have used the product in white and it really is amazing. The odor is plain old nuclear! I have never encountered a stronger more nasty smelling product in my life. It is worth it in the end though.

Did it just appear or do you think it was there when you rented? If you haven't done anything to cause the stain, either it pre-existed or something is leaking. Have you notified the landlord? With that pipe in close proximity, it seems likely (to me) that if it just recently appeared that you could have some moisture getting under the tile and pushing rust up from below. Maybe just a pinhole leak, or a leak that's been fixed but caused rust under the tile? If it was pre-existing (or if you have pets) could be some critter was urinating there. I might try a little white vinegar on part of the spot, let it set for a while, just to see if it does anything. Your tile doesn't look like natural stone but hard to tell from pics. If it is, you have to be much more careful with cleaning than if it's ceramic tile or cement - so don't use vinegar if it's natural stone without doing some research. You could ask your landlord what kind of tile it is and research cleaning that type of tile. If nothing else, go to a big box store that sells tiles and look at the selection to see if you can find something similar - it might narrow down the type of tile for you, so you'll have a better chance of choosing the correct cleaning process.