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Finding the Third Proportional to 200,979 and 418,496

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Solution

The third proportional to 200,979 and 418,496 is: 871,428.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,979 : 418,496 = 418,496 : x
  2. Step 2: Convert to fraction form
    200,979/418,496 = 418,496/x
  3. Step 3: Cross multiply
    200,979x = 418,496 × 418,496
  4. Step 4: Simplify right side
    200,979x = 175,138,902,016
  5. Step 5: Solve for x
    x = 175,138,902,016/200,979
  6. Step 6: Final answer
    x = 871,428.87

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.