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Finding the Third Proportional to 396,915 and 596,267

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Solution

The third proportional to 396,915 and 596,267 is: 895,744.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,915 : 596,267 = 596,267 : x
  2. Step 2: Convert to fraction form
    396,915/596,267 = 596,267/x
  3. Step 3: Cross multiply
    396,915x = 596,267 × 596,267
  4. Step 4: Simplify right side
    396,915x = 355,534,335,289
  5. Step 5: Solve for x
    x = 355,534,335,289/396,915
  6. Step 6: Final answer
    x = 895,744.27

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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.