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Finding the Third Proportional to 198,022 and 433,472

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Solution

The third proportional to 198,022 and 433,472 is: 948,874.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,022 : 433,472 = 433,472 : x
  2. Step 2: Convert to fraction form
    198,022/433,472 = 433,472/x
  3. Step 3: Cross multiply
    198,022x = 433,472 × 433,472
  4. Step 4: Simplify right side
    198,022x = 187,897,974,784
  5. Step 5: Solve for x
    x = 187,897,974,784/198,022
  6. Step 6: Final answer
    x = 948,874.24

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.