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Finding the Third Proportional to 396.19 and 1,029.56

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Solution

The third proportional to 396.19 and 1,029.56 is: 2,675.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    396.19 : 1,029.56 = 1,029.56 : x
  2. Step 2: Convert to fraction form
    396.19/1,029.56 = 1,029.56/x
  3. Step 3: Cross multiply
    396.19x = 1,029.56 × 1,029.56
  4. Step 4: Simplify right side
    396.19x = 1,059,998.94
  5. Step 5: Solve for x
    x = 1,059,998.94/396.19
  6. Step 6: Final answer
    x = 2,675.50

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Why These Related Problems?

These problems maintain the same ratio (2.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.