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Finding the Third Proportional to 1,197 and 1,329

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Solution

The third proportional to 1,197 and 1,329 is: 1,475.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,197 : 1,329 = 1,329 : x
  2. Step 2: Convert to fraction form
    1,197/1,329 = 1,329/x
  3. Step 3: Cross multiply
    1,197x = 1,329 × 1,329
  4. Step 4: Simplify right side
    1,197x = 1,766,241
  5. Step 5: Solve for x
    x = 1,766,241/1,197
  6. Step 6: Final answer
    x = 1,475.56

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Why These Related Problems?

These problems maintain the same ratio (1.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.