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Finding the Third Proportional to 267,723 and 582,102

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Solution

The third proportional to 267,723 and 582,102 is: 1,265,646.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,723 : 582,102 = 582,102 : x
  2. Step 2: Convert to fraction form
    267,723/582,102 = 582,102/x
  3. Step 3: Cross multiply
    267,723x = 582,102 × 582,102
  4. Step 4: Simplify right side
    267,723x = 338,842,738,404
  5. Step 5: Solve for x
    x = 338,842,738,404/267,723
  6. Step 6: Final answer
    x = 1,265,646.73

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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.