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Finding the Third Proportional to 366,966 and 516,769

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Solution

The third proportional to 366,966 and 516,769 is: 727,724.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,966 : 516,769 = 516,769 : x
  2. Step 2: Convert to fraction form
    366,966/516,769 = 516,769/x
  3. Step 3: Cross multiply
    366,966x = 516,769 × 516,769
  4. Step 4: Simplify right side
    366,966x = 267,050,199,361
  5. Step 5: Solve for x
    x = 267,050,199,361/366,966
  6. Step 6: Final answer
    x = 727,724.64

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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.