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Finding the Third Proportional to 275.06 and 402.75

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Solution

The third proportional to 275.06 and 402.75 is: 589.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    275.06 : 402.75 = 402.75 : x
  2. Step 2: Convert to fraction form
    275.06/402.75 = 402.75/x
  3. Step 3: Cross multiply
    275.06x = 402.75 × 402.75
  4. Step 4: Simplify right side
    275.06x = 162,207.56
  5. Step 5: Solve for x
    x = 162,207.56/275.06
  6. Step 6: Final answer
    x = 589.71

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.