Greetings, I am hitting a snag, producing a quictime video for a client:
Shot and edited in 60 fps XDCAM, Ex-1
Exported it from Final Cut, but saw no way to specify frame rate of final video.
My movie is 960 x 540 and the Quicktime inspector shows: 35 FPS
The video is hanging 6 minutes in on their systems.

Any ideas?

Something doesn't compute here.
Export>Quicktime Conversion
Options Button
Settings Button

Either there's something missing from your description or you didn't see that there are three buttons
Settings
Filter
Size
You must have figured out size to get the frame size you're using.

I have no idea how you can come up with 35fps unless you have a serious workflow issue. Try telling a complete story so we can spot the problem.