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Finding the Third Proportional to 282,002 and 436,874

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Solution

The third proportional to 282,002 and 436,874 is: 676,799.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,002 : 436,874 = 436,874 : x
  2. Step 2: Convert to fraction form
    282,002/436,874 = 436,874/x
  3. Step 3: Cross multiply
    282,002x = 436,874 × 436,874
  4. Step 4: Simplify right side
    282,002x = 190,858,891,876
  5. Step 5: Solve for x
    x = 190,858,891,876/282,002
  6. Step 6: Final answer
    x = 676,799.78

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.