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Finding the Third Proportional to 267,714 and 582,068

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Solution

The third proportional to 267,714 and 582,068 is: 1,265,541.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,714 : 582,068 = 582,068 : x
  2. Step 2: Convert to fraction form
    267,714/582,068 = 582,068/x
  3. Step 3: Cross multiply
    267,714x = 582,068 × 582,068
  4. Step 4: Simplify right side
    267,714x = 338,803,156,624
  5. Step 5: Solve for x
    x = 338,803,156,624/267,714
  6. Step 6: Final answer
    x = 1,265,541.42

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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.