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Finding the Third Proportional to 396,505 and 594,879

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Solution

The third proportional to 396,505 and 594,879 is: 892,500.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,505 : 594,879 = 594,879 : x
  2. Step 2: Convert to fraction form
    396,505/594,879 = 594,879/x
  3. Step 3: Cross multiply
    396,505x = 594,879 × 594,879
  4. Step 4: Simplify right side
    396,505x = 353,881,024,641
  5. Step 5: Solve for x
    x = 353,881,024,641/396,505
  6. Step 6: Final answer
    x = 892,500.79

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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.