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Finding the Third Proportional to 396,611 and 595,794

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Solution

The third proportional to 396,611 and 595,794 is: 895,009.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,611 : 595,794 = 595,794 : x
  2. Step 2: Convert to fraction form
    396,611/595,794 = 595,794/x
  3. Step 3: Cross multiply
    396,611x = 595,794 × 595,794
  4. Step 4: Simplify right side
    396,611x = 354,970,490,436
  5. Step 5: Solve for x
    x = 354,970,490,436/396,611
  6. Step 6: Final answer
    x = 895,009.19

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.