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Finding the Third Proportional to 219,531.52 and 479,249.16

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Solution

The third proportional to 219,531.52 and 479,249.16 is: 1,046,226.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,531.52 : 479,249.16 = 479,249.16 : x
  2. Step 2: Convert to fraction form
    219,531.52/479,249.16 = 479,249.16/x
  3. Step 3: Cross multiply
    219,531.52x = 479,249.16 × 479,249.16
  4. Step 4: Simplify right side
    219,531.52x = 229,679,753,766.34
  5. Step 5: Solve for x
    x = 229,679,753,766.34/219,531.52
  6. Step 6: Final answer
    x = 1,046,226.79

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.