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Finding the Third Proportional to 396,432 and 855,072

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Solution

The third proportional to 396,432 and 855,072 is: 1,844,321.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,432 : 855,072 = 855,072 : x
  2. Step 2: Convert to fraction form
    396,432/855,072 = 855,072/x
  3. Step 3: Cross multiply
    396,432x = 855,072 × 855,072
  4. Step 4: Simplify right side
    396,432x = 731,148,125,184
  5. Step 5: Solve for x
    x = 731,148,125,184/396,432
  6. Step 6: Final answer
    x = 1,844,321.66

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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.