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Finding the Third Proportional to 275.27 and 426.99

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Solution

The third proportional to 275.27 and 426.99 is: 662.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    275.27 : 426.99 = 426.99 : x
  2. Step 2: Convert to fraction form
    275.27/426.99 = 426.99/x
  3. Step 3: Cross multiply
    275.27x = 426.99 × 426.99
  4. Step 4: Simplify right side
    275.27x = 182,320.66
  5. Step 5: Solve for x
    x = 182,320.66/275.27
  6. Step 6: Final answer
    x = 662.33

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.