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Finding the Third Proportional to 315.38 and 426.56

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Solution

The third proportional to 315.38 and 426.56 is: 576.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    315.38 : 426.56 = 426.56 : x
  2. Step 2: Convert to fraction form
    315.38/426.56 = 426.56/x
  3. Step 3: Cross multiply
    315.38x = 426.56 × 426.56
  4. Step 4: Simplify right side
    315.38x = 181,955.57
  5. Step 5: Solve for x
    x = 181,955.57/315.38
  6. Step 6: Final answer
    x = 576.95

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.