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Finding the Third Proportional to 366,935.88 and 516,726.38

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Solution

The third proportional to 366,935.88 and 516,726.38 is: 727,664.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,935.88 : 516,726.38 = 516,726.38 : x
  2. Step 2: Convert to fraction form
    366,935.88/516,726.38 = 516,726.38/x
  3. Step 3: Cross multiply
    366,935.88x = 516,726.38 × 516,726.38
  4. Step 4: Simplify right side
    366,935.88x = 267,006,146,620.64
  5. Step 5: Solve for x
    x = 267,006,146,620.64/366,935.88
  6. Step 6: Final answer
    x = 727,664.33

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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.