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Finding the Third Proportional to 396,310.25 and 883,387

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Solution

The third proportional to 396,310.25 and 883,387 is: 1,969,095.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,310.25 : 883,387 = 883,387 : x
  2. Step 2: Convert to fraction form
    396,310.25/883,387 = 883,387/x
  3. Step 3: Cross multiply
    396,310.25x = 883,387 × 883,387
  4. Step 4: Simplify right side
    396,310.25x = 780,372,591,769
  5. Step 5: Solve for x
    x = 780,372,591,769/396,310.25
  6. Step 6: Final answer
    x = 1,969,095.15

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.