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Finding the Third Proportional to 396,176.06 and 825,184.13

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Solution

The third proportional to 396,176.06 and 825,184.13 is: 1,718,753.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,176.06 : 825,184.13 = 825,184.13 : x
  2. Step 2: Convert to fraction form
    396,176.06/825,184.13 = 825,184.13/x
  3. Step 3: Cross multiply
    396,176.06x = 825,184.13 × 825,184.13
  4. Step 4: Simplify right side
    396,176.06x = 680,928,840,152.02
  5. Step 5: Solve for x
    x = 680,928,840,152.02/396,176.06
  6. Step 6: Final answer
    x = 1,718,753.11

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.