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Finding the Third Proportional to 337,723 and 731,487

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Solution

The third proportional to 337,723 and 731,487 is: 1,584,355.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,723 : 731,487 = 731,487 : x
  2. Step 2: Convert to fraction form
    337,723/731,487 = 731,487/x
  3. Step 3: Cross multiply
    337,723x = 731,487 × 731,487
  4. Step 4: Simplify right side
    337,723x = 535,073,231,169
  5. Step 5: Solve for x
    x = 535,073,231,169/337,723
  6. Step 6: Final answer
    x = 1,584,355.32

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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.