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Finding the Third Proportional to 267,721 and 582,098

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Solution

The third proportional to 267,721 and 582,098 is: 1,265,638.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,721 : 582,098 = 582,098 : x
  2. Step 2: Convert to fraction form
    267,721/582,098 = 582,098/x
  3. Step 3: Cross multiply
    267,721x = 582,098 × 582,098
  4. Step 4: Simplify right side
    267,721x = 338,838,081,604
  5. Step 5: Solve for x
    x = 338,838,081,604/267,721
  6. Step 6: Final answer
    x = 1,265,638.79

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.