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Finding the Third Proportional to 297,134 and 447,113

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Solution

The third proportional to 297,134 and 447,113 is: 672,794.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,134 : 447,113 = 447,113 : x
  2. Step 2: Convert to fraction form
    297,134/447,113 = 447,113/x
  3. Step 3: Cross multiply
    297,134x = 447,113 × 447,113
  4. Step 4: Simplify right side
    297,134x = 199,910,034,769
  5. Step 5: Solve for x
    x = 199,910,034,769/297,134
  6. Step 6: Final answer
    x = 672,794.21

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Why These Related Problems?

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