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Finding the Third Proportional to 267,727.50 and 582,111

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Solution

The third proportional to 267,727.50 and 582,111 is: 1,265,664.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,727.50 : 582,111 = 582,111 : x
  2. Step 2: Convert to fraction form
    267,727.50/582,111 = 582,111/x
  3. Step 3: Cross multiply
    267,727.50x = 582,111 × 582,111
  4. Step 4: Simplify right side
    267,727.50x = 338,853,216,321
  5. Step 5: Solve for x
    x = 338,853,216,321/267,727.50
  6. Step 6: Final answer
    x = 1,265,664.59

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.