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Finding the Third Proportional to 366,522 and 516,134

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Solution

The third proportional to 366,522 and 516,134 is: 726,816.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,522 : 516,134 = 516,134 : x
  2. Step 2: Convert to fraction form
    366,522/516,134 = 516,134/x
  3. Step 3: Cross multiply
    366,522x = 516,134 × 516,134
  4. Step 4: Simplify right side
    366,522x = 266,394,305,956
  5. Step 5: Solve for x
    x = 266,394,305,956/366,522
  6. Step 6: Final answer
    x = 726,816.69

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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.