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Finding the Third Proportional to 366,960.38 and 516,769.88

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Solution

The third proportional to 366,960.38 and 516,769.88 is: 727,738.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,960.38 : 516,769.88 = 516,769.88 : x
  2. Step 2: Convert to fraction form
    366,960.38/516,769.88 = 516,769.88/x
  3. Step 3: Cross multiply
    366,960.38x = 516,769.88 × 516,769.88
  4. Step 4: Simplify right side
    366,960.38x = 267,051,103,707.52
  5. Step 5: Solve for x
    x = 267,051,103,707.52/366,960.38
  6. Step 6: Final answer
    x = 727,738.26

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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.