100 Points and Brainliest to the person who answer the ENTIRE question fully and thoroughly.

In △ABC, segment BJ bisects ∠ABC. Segment DF | | to segment AC. The perimeter of △ABC is 683. Find the length of segment JC.

Hint: Use the Triangle Proportionality Theorem and the Angle Bisector Theorem
Show all your work calclating the length of JC, including the theorem used. Discuss how you came up with your strategy.