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Finding the Third Proportional to 200,923 and 442,022

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Solution

The third proportional to 200,923 and 442,022 is: 972,429.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,923 : 442,022 = 442,022 : x
  2. Step 2: Convert to fraction form
    200,923/442,022 = 442,022/x
  3. Step 3: Cross multiply
    200,923x = 442,022 × 442,022
  4. Step 4: Simplify right side
    200,923x = 195,383,448,484
  5. Step 5: Solve for x
    x = 195,383,448,484/200,923
  6. Step 6: Final answer
    x = 972,429.48

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