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Finding the Third Proportional to 297,132 and 447,110

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Solution

The third proportional to 297,132 and 447,110 is: 672,789.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,132 : 447,110 = 447,110 : x
  2. Step 2: Convert to fraction form
    297,132/447,110 = 447,110/x
  3. Step 3: Cross multiply
    297,132x = 447,110 × 447,110
  4. Step 4: Simplify right side
    297,132x = 199,907,352,100
  5. Step 5: Solve for x
    x = 199,907,352,100/297,132
  6. Step 6: Final answer
    x = 672,789.71

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.