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Finding the Third Proportional to 337,717 and 731,475

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Solution

The third proportional to 337,717 and 731,475 is: 1,584,331.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,717 : 731,475 = 731,475 : x
  2. Step 2: Convert to fraction form
    337,717/731,475 = 731,475/x
  3. Step 3: Cross multiply
    337,717x = 731,475 × 731,475
  4. Step 4: Simplify right side
    337,717x = 535,055,675,625
  5. Step 5: Solve for x
    x = 535,055,675,625/337,717
  6. Step 6: Final answer
    x = 1,584,331.48

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.