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Finding the Third Proportional to 396,609 and 595,791

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Solution

The third proportional to 396,609 and 595,791 is: 895,004.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,609 : 595,791 = 595,791 : x
  2. Step 2: Convert to fraction form
    396,609/595,791 = 595,791/x
  3. Step 3: Cross multiply
    396,609x = 595,791 × 595,791
  4. Step 4: Simplify right side
    396,609x = 354,966,915,681
  5. Step 5: Solve for x
    x = 354,966,915,681/396,609
  6. Step 6: Final answer
    x = 895,004.69

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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.