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Finding the Third Proportional to 267,717 and 582,089.25

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Solution

The third proportional to 267,717 and 582,089.25 is: 1,265,619.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,717 : 582,089.25 = 582,089.25 : x
  2. Step 2: Convert to fraction form
    267,717/582,089.25 = 582,089.25/x
  3. Step 3: Cross multiply
    267,717x = 582,089.25 × 582,089.25
  4. Step 4: Simplify right side
    267,717x = 338,827,894,965.56
  5. Step 5: Solve for x
    x = 338,827,894,965.56/267,717
  6. Step 6: Final answer
    x = 1,265,619.65

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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.