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Finding the Third Proportional to 729.28 and 1,576.27

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Solution

The third proportional to 729.28 and 1,576.27 is: 3,406.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    729.28 : 1,576.27 = 1,576.27 : x
  2. Step 2: Convert to fraction form
    729.28/1,576.27 = 1,576.27/x
  3. Step 3: Cross multiply
    729.28x = 1,576.27 × 1,576.27
  4. Step 4: Simplify right side
    729.28x = 2,484,613.32
  5. Step 5: Solve for x
    x = 2,484,613.32/729.28
  6. Step 6: Final answer
    x = 3,406.93

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.