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Finding the Third Proportional to 200,518 and 445,866

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Solution

The third proportional to 200,518 and 445,866 is: 991,414.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,518 : 445,866 = 445,866 : x
  2. Step 2: Convert to fraction form
    200,518/445,866 = 445,866/x
  3. Step 3: Cross multiply
    200,518x = 445,866 × 445,866
  4. Step 4: Simplify right side
    200,518x = 198,796,489,956
  5. Step 5: Solve for x
    x = 198,796,489,956/200,518
  6. Step 6: Final answer
    x = 991,414.69

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.