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Finding the Third Proportional to 223,882.50 and 491,747.44

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Solution

The third proportional to 223,882.50 and 491,747.44 is: 1,080,100.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,882.50 : 491,747.44 = 491,747.44 : x
  2. Step 2: Convert to fraction form
    223,882.50/491,747.44 = 491,747.44/x
  3. Step 3: Cross multiply
    223,882.50x = 491,747.44 × 491,747.44
  4. Step 4: Simplify right side
    223,882.50x = 241,815,542,287.82
  5. Step 5: Solve for x
    x = 241,815,542,287.82/223,882.50
  6. Step 6: Final answer
    x = 1,080,100.24

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.