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Finding the Third Proportional to 267,398 and 582,775

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Solution

The third proportional to 267,398 and 582,775 is: 1,270,116.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,398 : 582,775 = 582,775 : x
  2. Step 2: Convert to fraction form
    267,398/582,775 = 582,775/x
  3. Step 3: Cross multiply
    267,398x = 582,775 × 582,775
  4. Step 4: Simplify right side
    267,398x = 339,626,700,625
  5. Step 5: Solve for x
    x = 339,626,700,625/267,398
  6. Step 6: Final answer
    x = 1,270,116.83

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.