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Finding the Third Proportional to 396,211.50 and 857,000.25

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Solution

The third proportional to 396,211.50 and 857,000.25 is: 1,853,680.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,211.50 : 857,000.25 = 857,000.25 : x
  2. Step 2: Convert to fraction form
    396,211.50/857,000.25 = 857,000.25/x
  3. Step 3: Cross multiply
    396,211.50x = 857,000.25 × 857,000.25
  4. Step 4: Simplify right side
    396,211.50x = 734,449,428,500.06
  5. Step 5: Solve for x
    x = 734,449,428,500.06/396,211.50
  6. Step 6: Final answer
    x = 1,853,680.24

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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.