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Finding the Third Proportional to 207,834 and 454,554

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Solution

The third proportional to 207,834 and 454,554 is: 994,155.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,834 : 454,554 = 454,554 : x
  2. Step 2: Convert to fraction form
    207,834/454,554 = 454,554/x
  3. Step 3: Cross multiply
    207,834x = 454,554 × 454,554
  4. Step 4: Simplify right side
    207,834x = 206,619,338,916
  5. Step 5: Solve for x
    x = 206,619,338,916/207,834
  6. Step 6: Final answer
    x = 994,155.62

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.