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Finding the Third Proportional to 366,952 and 516,747

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Solution

The third proportional to 366,952 and 516,747 is: 727,690.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,952 : 516,747 = 516,747 : x
  2. Step 2: Convert to fraction form
    366,952/516,747 = 516,747/x
  3. Step 3: Cross multiply
    366,952x = 516,747 × 516,747
  4. Step 4: Simplify right side
    366,952x = 267,027,462,009
  5. Step 5: Solve for x
    x = 267,027,462,009/366,952
  6. Step 6: Final answer
    x = 727,690.44

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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.