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Finding the Third Proportional to 927.28 and 1,729.69

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Solution

The third proportional to 927.28 and 1,729.69 is: 3,226.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    927.28 : 1,729.69 = 1,729.69 : x
  2. Step 2: Convert to fraction form
    927.28/1,729.69 = 1,729.69/x
  3. Step 3: Cross multiply
    927.28x = 1,729.69 × 1,729.69
  4. Step 4: Simplify right side
    927.28x = 2,991,818.85
  5. Step 5: Solve for x
    x = 2,991,818.85/927.28
  6. Step 6: Final answer
    x = 3,226.44

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Why These Related Problems?

These problems maintain the same ratio (1.87) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.