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Finding the Third Proportional to 337,607 and 517,651

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Solution

The third proportional to 337,607 and 517,651 is: 793,711.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,607 : 517,651 = 517,651 : x
  2. Step 2: Convert to fraction form
    337,607/517,651 = 517,651/x
  3. Step 3: Cross multiply
    337,607x = 517,651 × 517,651
  4. Step 4: Simplify right side
    337,607x = 267,962,557,801
  5. Step 5: Solve for x
    x = 267,962,557,801/337,607
  6. Step 6: Final answer
    x = 793,711.50

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.