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Finding the Third Proportional to 287,735 and 435,599

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Solution

The third proportional to 287,735 and 435,599 is: 659,448.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,735 : 435,599 = 435,599 : x
  2. Step 2: Convert to fraction form
    287,735/435,599 = 435,599/x
  3. Step 3: Cross multiply
    287,735x = 435,599 × 435,599
  4. Step 4: Simplify right side
    287,735x = 189,746,488,801
  5. Step 5: Solve for x
    x = 189,746,488,801/287,735
  6. Step 6: Final answer
    x = 659,448.76

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.