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Finding the Third Proportional to 267,719 and 582,094

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Solution

The third proportional to 267,719 and 582,094 is: 1,265,630.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,719 : 582,094 = 582,094 : x
  2. Step 2: Convert to fraction form
    267,719/582,094 = 582,094/x
  3. Step 3: Cross multiply
    267,719x = 582,094 × 582,094
  4. Step 4: Simplify right side
    267,719x = 338,833,424,836
  5. Step 5: Solve for x
    x = 338,833,424,836/267,719
  6. Step 6: Final answer
    x = 1,265,630.85

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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.