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Finding the Third Proportional to 198,631.69 and 441,397.13

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Solution

The third proportional to 198,631.69 and 441,397.13 is: 980,867.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,631.69 : 441,397.13 = 441,397.13 : x
  2. Step 2: Convert to fraction form
    198,631.69/441,397.13 = 441,397.13/x
  3. Step 3: Cross multiply
    198,631.69x = 441,397.13 × 441,397.13
  4. Step 4: Simplify right side
    198,631.69x = 194,831,421,958.27
  5. Step 5: Solve for x
    x = 194,831,421,958.27/198,631.69
  6. Step 6: Final answer
    x = 980,867.78

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These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.