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Finding the Third Proportional to 396,620 and 595,806

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Solution

The third proportional to 396,620 and 595,806 is: 895,024.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,620 : 595,806 = 595,806 : x
  2. Step 2: Convert to fraction form
    396,620/595,806 = 595,806/x
  3. Step 3: Cross multiply
    396,620x = 595,806 × 595,806
  4. Step 4: Simplify right side
    396,620x = 354,984,789,636
  5. Step 5: Solve for x
    x = 354,984,789,636/396,620
  6. Step 6: Final answer
    x = 895,024.93

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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.