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Finding the Third Proportional to 396,603 and 595,782

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Solution

The third proportional to 396,603 and 595,782 is: 894,991.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,603 : 595,782 = 595,782 : x
  2. Step 2: Convert to fraction form
    396,603/595,782 = 595,782/x
  3. Step 3: Cross multiply
    396,603x = 595,782 × 595,782
  4. Step 4: Simplify right side
    396,603x = 354,956,191,524
  5. Step 5: Solve for x
    x = 354,956,191,524/396,603
  6. Step 6: Final answer
    x = 894,991.19

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.