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Finding the Third Proportional to 396,048 and 805,872

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Solution

The third proportional to 396,048 and 805,872 is: 1,639,775.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,048 : 805,872 = 805,872 : x
  2. Step 2: Convert to fraction form
    396,048/805,872 = 805,872/x
  3. Step 3: Cross multiply
    396,048x = 805,872 × 805,872
  4. Step 4: Simplify right side
    396,048x = 649,429,680,384
  5. Step 5: Solve for x
    x = 649,429,680,384/396,048
  6. Step 6: Final answer
    x = 1,639,775.18

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.