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Finding the Third Proportional to 200,882 and 445,820

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Solution

The third proportional to 200,882 and 445,820 is: 989,414.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,882 : 445,820 = 445,820 : x
  2. Step 2: Convert to fraction form
    200,882/445,820 = 445,820/x
  3. Step 3: Cross multiply
    200,882x = 445,820 × 445,820
  4. Step 4: Simplify right side
    200,882x = 198,755,472,400
  5. Step 5: Solve for x
    x = 198,755,472,400/200,882
  6. Step 6: Final answer
    x = 989,414.05

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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.