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Finding the Third Proportional to 207,806 and 454,494

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Solution

The third proportional to 207,806 and 454,494 is: 994,027.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,806 : 454,494 = 454,494 : x
  2. Step 2: Convert to fraction form
    207,806/454,494 = 454,494/x
  3. Step 3: Cross multiply
    207,806x = 454,494 × 454,494
  4. Step 4: Simplify right side
    207,806x = 206,564,796,036
  5. Step 5: Solve for x
    x = 206,564,796,036/207,806
  6. Step 6: Final answer
    x = 994,027.10

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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.