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Finding the Third Proportional to 274.32 and 411.96

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Solution

The third proportional to 274.32 and 411.96 is: 618.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    274.32 : 411.96 = 411.96 : x
  2. Step 2: Convert to fraction form
    274.32/411.96 = 411.96/x
  3. Step 3: Cross multiply
    274.32x = 411.96 × 411.96
  4. Step 4: Simplify right side
    274.32x = 169,711.81
  5. Step 5: Solve for x
    x = 169,711.81/274.32
  6. Step 6: Final answer
    x = 618.65

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.