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Finding the Third Proportional to 366,937.88 and 516,729.38

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Solution

The third proportional to 366,937.88 and 516,729.38 is: 727,668.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,937.88 : 516,729.38 = 516,729.38 : x
  2. Step 2: Convert to fraction form
    366,937.88/516,729.38 = 516,729.38/x
  3. Step 3: Cross multiply
    366,937.88x = 516,729.38 × 516,729.38
  4. Step 4: Simplify right side
    366,937.88x = 267,009,246,987.89
  5. Step 5: Solve for x
    x = 267,009,246,987.89/366,937.88
  6. Step 6: Final answer
    x = 727,668.81

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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.