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Finding the Third Proportional to 396.66 and 852.94

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Solution

The third proportional to 396.66 and 852.94 is: 1,834.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    396.66 : 852.94 = 852.94 : x
  2. Step 2: Convert to fraction form
    396.66/852.94 = 852.94/x
  3. Step 3: Cross multiply
    396.66x = 852.94 × 852.94
  4. Step 4: Simplify right side
    396.66x = 727,502.38
  5. Step 5: Solve for x
    x = 727,502.38/396.66
  6. Step 6: Final answer
    x = 1,834.09

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.