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Finding the Third Proportional to 337,899 and 731,565

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Solution

The third proportional to 337,899 and 731,565 is: 1,583,867.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,899 : 731,565 = 731,565 : x
  2. Step 2: Convert to fraction form
    337,899/731,565 = 731,565/x
  3. Step 3: Cross multiply
    337,899x = 731,565 × 731,565
  4. Step 4: Simplify right side
    337,899x = 535,187,349,225
  5. Step 5: Solve for x
    x = 535,187,349,225/337,899
  6. Step 6: Final answer
    x = 1,583,867.81

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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.