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Finding the Third Proportional to 367,059.38 and 516,909.38

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Solution

The third proportional to 367,059.38 and 516,909.38 is: 727,934.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,059.38 : 516,909.38 = 516,909.38 : x
  2. Step 2: Convert to fraction form
    367,059.38/516,909.38 = 516,909.38/x
  3. Step 3: Cross multiply
    367,059.38x = 516,909.38 × 516,909.38
  4. Step 4: Simplify right side
    367,059.38x = 267,195,301,962.89
  5. Step 5: Solve for x
    x = 267,195,301,962.89/367,059.38
  6. Step 6: Final answer
    x = 727,934.83

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.