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Finding the Third Proportional to 200,981 and 442,443

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Solution

The third proportional to 200,981 and 442,443 is: 974,001.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,981 : 442,443 = 442,443 : x
  2. Step 2: Convert to fraction form
    200,981/442,443 = 442,443/x
  3. Step 3: Cross multiply
    200,981x = 442,443 × 442,443
  4. Step 4: Simplify right side
    200,981x = 195,755,808,249
  5. Step 5: Solve for x
    x = 195,755,808,249/200,981
  6. Step 6: Final answer
    x = 974,001.56

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.