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Finding the Third Proportional to 396,067 and 595,997

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Solution

The third proportional to 396,067 and 595,997 is: 896,849.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,067 : 595,997 = 595,997 : x
  2. Step 2: Convert to fraction form
    396,067/595,997 = 595,997/x
  3. Step 3: Cross multiply
    396,067x = 595,997 × 595,997
  4. Step 4: Simplify right side
    396,067x = 355,212,424,009
  5. Step 5: Solve for x
    x = 355,212,424,009/396,067
  6. Step 6: Final answer
    x = 896,849.33

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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.