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Finding the Third Proportional to 267,921.75 and 577,909

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Solution

The third proportional to 267,921.75 and 577,909 is: 1,246,553.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,921.75 : 577,909 = 577,909 : x
  2. Step 2: Convert to fraction form
    267,921.75/577,909 = 577,909/x
  3. Step 3: Cross multiply
    267,921.75x = 577,909 × 577,909
  4. Step 4: Simplify right side
    267,921.75x = 333,978,812,281
  5. Step 5: Solve for x
    x = 333,978,812,281/267,921.75
  6. Step 6: Final answer
    x = 1,246,553.56

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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.