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Finding the Third Proportional to 396,914 and 853,732

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Solution

The third proportional to 396,914 and 853,732 is: 1,836,312.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,914 : 853,732 = 853,732 : x
  2. Step 2: Convert to fraction form
    396,914/853,732 = 853,732/x
  3. Step 3: Cross multiply
    396,914x = 853,732 × 853,732
  4. Step 4: Simplify right side
    396,914x = 728,858,327,824
  5. Step 5: Solve for x
    x = 728,858,327,824/396,914
  6. Step 6: Final answer
    x = 1,836,312.97

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.