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Finding the Third Proportional to 396,425 and 825,682

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Solution

The third proportional to 396,425 and 825,682 is: 1,719,747.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,425 : 825,682 = 825,682 : x
  2. Step 2: Convert to fraction form
    396,425/825,682 = 825,682/x
  3. Step 3: Cross multiply
    396,425x = 825,682 × 825,682
  4. Step 4: Simplify right side
    396,425x = 681,750,765,124
  5. Step 5: Solve for x
    x = 681,750,765,124/396,425
  6. Step 6: Final answer
    x = 1,719,747.15

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.