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Finding the Third Proportional to 402,432 and 544,599

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Solution

The third proportional to 402,432 and 544,599 is: 736,989.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,432 : 544,599 = 544,599 : x
  2. Step 2: Convert to fraction form
    402,432/544,599 = 544,599/x
  3. Step 3: Cross multiply
    402,432x = 544,599 × 544,599
  4. Step 4: Simplify right side
    402,432x = 296,588,070,801
  5. Step 5: Solve for x
    x = 296,588,070,801/402,432
  6. Step 6: Final answer
    x = 736,989.28

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.