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Finding the Third Proportional to 396,294.50 and 857,227

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Solution

The third proportional to 396,294.50 and 857,227 is: 1,854,272.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,294.50 : 857,227 = 857,227 : x
  2. Step 2: Convert to fraction form
    396,294.50/857,227 = 857,227/x
  3. Step 3: Cross multiply
    396,294.50x = 857,227 × 857,227
  4. Step 4: Simplify right side
    396,294.50x = 734,838,129,529
  5. Step 5: Solve for x
    x = 734,838,129,529/396,294.50
  6. Step 6: Final answer
    x = 1,854,272.84

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.