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Finding the Third Proportional to 367,078 and 516,932

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Solution

The third proportional to 367,078 and 516,932 is: 727,961.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,078 : 516,932 = 516,932 : x
  2. Step 2: Convert to fraction form
    367,078/516,932 = 516,932/x
  3. Step 3: Cross multiply
    367,078x = 516,932 × 516,932
  4. Step 4: Simplify right side
    367,078x = 267,218,692,624
  5. Step 5: Solve for x
    x = 267,218,692,624/367,078
  6. Step 6: Final answer
    x = 727,961.61

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.