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Finding the Third Proportional to 337.29 and 544.22

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Solution

The third proportional to 337.29 and 544.22 is: 878.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    337.29 : 544.22 = 544.22 : x
  2. Step 2: Convert to fraction form
    337.29/544.22 = 544.22/x
  3. Step 3: Cross multiply
    337.29x = 544.22 × 544.22
  4. Step 4: Simplify right side
    337.29x = 296,174.05
  5. Step 5: Solve for x
    x = 296,174.05/337.29
  6. Step 6: Final answer
    x = 878.10

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.