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Finding the Third Proportional to 366,984 and 516,780

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Solution

The third proportional to 366,984 and 516,780 is: 727,719.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,984 : 516,780 = 516,780 : x
  2. Step 2: Convert to fraction form
    366,984/516,780 = 516,780/x
  3. Step 3: Cross multiply
    366,984x = 516,780 × 516,780
  4. Step 4: Simplify right side
    366,984x = 267,061,568,400
  5. Step 5: Solve for x
    x = 267,061,568,400/366,984
  6. Step 6: Final answer
    x = 727,719.92

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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.