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Finding the Third Proportional to 396,914 and 595,443

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Solution

The third proportional to 396,914 and 595,443 is: 893,272.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,914 : 595,443 = 595,443 : x
  2. Step 2: Convert to fraction form
    396,914/595,443 = 595,443/x
  3. Step 3: Cross multiply
    396,914x = 595,443 × 595,443
  4. Step 4: Simplify right side
    396,914x = 354,552,366,249
  5. Step 5: Solve for x
    x = 354,552,366,249/396,914
  6. Step 6: Final answer
    x = 893,272.51

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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.