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Finding the Third Proportional to 337,713.38 and 731,468.63

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Solution

The third proportional to 337,713.38 and 731,468.63 is: 1,584,320.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,713.38 : 731,468.63 = 731,468.63 : x
  2. Step 2: Convert to fraction form
    337,713.38/731,468.63 = 731,468.63/x
  3. Step 3: Cross multiply
    337,713.38x = 731,468.63 × 731,468.63
  4. Step 4: Simplify right side
    337,713.38x = 535,046,349,359.39
  5. Step 5: Solve for x
    x = 535,046,349,359.39/337,713.38
  6. Step 6: Final answer
    x = 1,584,320.87

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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.