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Finding the Third Proportional to 200,568 and 440,496

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Solution

The third proportional to 200,568 and 440,496 is: 967,436.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,568 : 440,496 = 440,496 : x
  2. Step 2: Convert to fraction form
    200,568/440,496 = 440,496/x
  3. Step 3: Cross multiply
    200,568x = 440,496 × 440,496
  4. Step 4: Simplify right side
    200,568x = 194,036,726,016
  5. Step 5: Solve for x
    x = 194,036,726,016/200,568
  6. Step 6: Final answer
    x = 967,436.11

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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.