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Finding the Third Proportional to 239,725 and 516,812

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Solution

The third proportional to 239,725 and 516,812 is: 1,114,171.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,725 : 516,812 = 516,812 : x
  2. Step 2: Convert to fraction form
    239,725/516,812 = 516,812/x
  3. Step 3: Cross multiply
    239,725x = 516,812 × 516,812
  4. Step 4: Simplify right side
    239,725x = 267,094,643,344
  5. Step 5: Solve for x
    x = 267,094,643,344/239,725
  6. Step 6: Final answer
    x = 1,114,171.00

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.