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Finding the Third Proportional to 219,932.72 and 479,231.44

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Solution

The third proportional to 219,932.72 and 479,231.44 is: 1,044,241.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,932.72 : 479,231.44 = 479,231.44 : x
  2. Step 2: Convert to fraction form
    219,932.72/479,231.44 = 479,231.44/x
  3. Step 3: Cross multiply
    219,932.72x = 479,231.44 × 479,231.44
  4. Step 4: Simplify right side
    219,932.72x = 229,662,770,688.32
  5. Step 5: Solve for x
    x = 229,662,770,688.32/219,932.72
  6. Step 6: Final answer
    x = 1,044,241.04

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