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Finding the Third Proportional to 396.23 and 873.47

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Solution

The third proportional to 396.23 and 873.47 is: 1,925.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    396.23 : 873.47 = 873.47 : x
  2. Step 2: Convert to fraction form
    396.23/873.47 = 873.47/x
  3. Step 3: Cross multiply
    396.23x = 873.47 × 873.47
  4. Step 4: Simplify right side
    396.23x = 762,947.66
  5. Step 5: Solve for x
    x = 762,947.66/396.23
  6. Step 6: Final answer
    x = 1,925.50

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.