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Finding the Third Proportional to 267,729 and 582,114

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Solution

The third proportional to 267,729 and 582,114 is: 1,265,670.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,729 : 582,114 = 582,114 : x
  2. Step 2: Convert to fraction form
    267,729/582,114 = 582,114/x
  3. Step 3: Cross multiply
    267,729x = 582,114 × 582,114
  4. Step 4: Simplify right side
    267,729x = 338,856,708,996
  5. Step 5: Solve for x
    x = 338,856,708,996/267,729
  6. Step 6: Final answer
    x = 1,265,670.54

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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.