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Finding the Third Proportional to 198,611 and 468,449

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Solution

The third proportional to 198,611 and 468,449 is: 1,104,895.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,611 : 468,449 = 468,449 : x
  2. Step 2: Convert to fraction form
    198,611/468,449 = 468,449/x
  3. Step 3: Cross multiply
    198,611x = 468,449 × 468,449
  4. Step 4: Simplify right side
    198,611x = 219,444,465,601
  5. Step 5: Solve for x
    x = 219,444,465,601/198,611
  6. Step 6: Final answer
    x = 1,104,895.83

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.