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Finding the Third Proportional to 396,611 and 595,795

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Solution

The third proportional to 396,611 and 595,795 is: 895,012.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,611 : 595,795 = 595,795 : x
  2. Step 2: Convert to fraction form
    396,611/595,795 = 595,795/x
  3. Step 3: Cross multiply
    396,611x = 595,795 × 595,795
  4. Step 4: Simplify right side
    396,611x = 354,971,682,025
  5. Step 5: Solve for x
    x = 354,971,682,025/396,611
  6. Step 6: Final answer
    x = 895,012.20

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Why These Related Problems?

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