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Finding the Third Proportional to 209,741 and 454,474

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Solution

The third proportional to 209,741 and 454,474 is: 984,769.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,741 : 454,474 = 454,474 : x
  2. Step 2: Convert to fraction form
    209,741/454,474 = 454,474/x
  3. Step 3: Cross multiply
    209,741x = 454,474 × 454,474
  4. Step 4: Simplify right side
    209,741x = 206,546,616,676
  5. Step 5: Solve for x
    x = 206,546,616,676/209,741
  6. Step 6: Final answer
    x = 984,769.87

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.