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Finding the Third Proportional to 274.22 and 424.83

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Solution

The third proportional to 274.22 and 424.83 is: 658.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    274.22 : 424.83 = 424.83 : x
  2. Step 2: Convert to fraction form
    274.22/424.83 = 424.83/x
  3. Step 3: Cross multiply
    274.22x = 424.83 × 424.83
  4. Step 4: Simplify right side
    274.22x = 180,478.94
  5. Step 5: Solve for x
    x = 180,478.94/274.22
  6. Step 6: Final answer
    x = 658.16

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