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Finding the Third Proportional to 584,422.50 and 1,268,493

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Solution

The third proportional to 584,422.50 and 1,268,493 is: 2,753,272.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    584,422.50 : 1,268,493 = 1,268,493 : x
  2. Step 2: Convert to fraction form
    584,422.50/1,268,493 = 1,268,493/x
  3. Step 3: Cross multiply
    584,422.50x = 1,268,493 × 1,268,493
  4. Step 4: Simplify right side
    584,422.50x = 1,609,074,491,049
  5. Step 5: Solve for x
    x = 1,609,074,491,049/584,422.50
  6. Step 6: Final answer
    x = 2,753,272.66

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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.