Well, I may be wrong and probably too wrong to understand the
problem others have. But to my understanding thing works like this
(at my end at least).
1. CROPPING has nothing to do with the DPI, PPI, or LPI but finding
the good part of the original photo to Crop It.
2. Now, after you have the good part CROPPED, then you can change
the DPI, PPI, LPI to whatever #'s you want, as it has nothing to do
with the main cropping.
3. Now, if you don't mind the RATIO then you have the choice to set
to whatever size you wish, and tell Photoshop to change to whatever
- 's you enter. Or Photoshop will either stretch or squeeze the
photo to match the #'s you enter.
IOW, there is no way to turn a SQUARE into TRIANGLE without
destroying something. And if it's already square and you want to
change to a BIGGER SQUARE then just give it a larger value (just
make sure all sizes have the exact same value)