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Finding the Third Proportional to 396,722 and 595,963

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Solution

The third proportional to 396,722 and 595,963 is: 895,266.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,722 : 595,963 = 595,963 : x
  2. Step 2: Convert to fraction form
    396,722/595,963 = 595,963/x
  3. Step 3: Cross multiply
    396,722x = 595,963 × 595,963
  4. Step 4: Simplify right side
    396,722x = 355,171,897,369
  5. Step 5: Solve for x
    x = 355,171,897,369/396,722
  6. Step 6: Final answer
    x = 895,266.45

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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.