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Finding the Third Proportional to 396,082 and 855,294

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Solution

The third proportional to 396,082 and 855,294 is: 1,846,910.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,082 : 855,294 = 855,294 : x
  2. Step 2: Convert to fraction form
    396,082/855,294 = 855,294/x
  3. Step 3: Cross multiply
    396,082x = 855,294 × 855,294
  4. Step 4: Simplify right side
    396,082x = 731,527,826,436
  5. Step 5: Solve for x
    x = 731,527,826,436/396,082
  6. Step 6: Final answer
    x = 1,846,910.05

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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.