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Finding the Third Proportional to 396 and 813.38

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Solution

The third proportional to 396 and 813.38 is: 1,670.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    396 : 813.38 = 813.38 : x
  2. Step 2: Convert to fraction form
    396/813.38 = 813.38/x
  3. Step 3: Cross multiply
    396x = 813.38 × 813.38
  4. Step 4: Simplify right side
    396x = 661,578.89
  5. Step 5: Solve for x
    x = 661,578.89/396
  6. Step 6: Final answer
    x = 1,670.65

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.