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Finding the Third Proportional to 206,576 and 452,463

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Solution

The third proportional to 206,576 and 452,463 is: 991,028.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,576 : 452,463 = 452,463 : x
  2. Step 2: Convert to fraction form
    206,576/452,463 = 452,463/x
  3. Step 3: Cross multiply
    206,576x = 452,463 × 452,463
  4. Step 4: Simplify right side
    206,576x = 204,722,766,369
  5. Step 5: Solve for x
    x = 204,722,766,369/206,576
  6. Step 6: Final answer
    x = 991,028.80

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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.