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Finding the Third Proportional to 296,469 and 443,892

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Solution

The third proportional to 296,469 and 443,892 is: 664,622.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,469 : 443,892 = 443,892 : x
  2. Step 2: Convert to fraction form
    296,469/443,892 = 443,892/x
  3. Step 3: Cross multiply
    296,469x = 443,892 × 443,892
  4. Step 4: Simplify right side
    296,469x = 197,040,107,664
  5. Step 5: Solve for x
    x = 197,040,107,664/296,469
  6. Step 6: Final answer
    x = 664,622.97

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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.