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Finding the Third Proportional to 366,966 and 516,767

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Solution

The third proportional to 366,966 and 516,767 is: 727,719.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,966 : 516,767 = 516,767 : x
  2. Step 2: Convert to fraction form
    366,966/516,767 = 516,767/x
  3. Step 3: Cross multiply
    366,966x = 516,767 × 516,767
  4. Step 4: Simplify right side
    366,966x = 267,048,132,289
  5. Step 5: Solve for x
    x = 267,048,132,289/366,966
  6. Step 6: Final answer
    x = 727,719.00

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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.