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Finding the Third Proportional to 396,668 and 595,868

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Solution

The third proportional to 396,668 and 595,868 is: 895,102.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,668 : 595,868 = 595,868 : x
  2. Step 2: Convert to fraction form
    396,668/595,868 = 595,868/x
  3. Step 3: Cross multiply
    396,668x = 595,868 × 595,868
  4. Step 4: Simplify right side
    396,668x = 355,058,673,424
  5. Step 5: Solve for x
    x = 355,058,673,424/396,668
  6. Step 6: Final answer
    x = 895,102.89

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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.