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Finding the Third Proportional to 338.88 and 502.44

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Solution

The third proportional to 338.88 and 502.44 is: 744.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    338.88 : 502.44 = 502.44 : x
  2. Step 2: Convert to fraction form
    338.88/502.44 = 502.44/x
  3. Step 3: Cross multiply
    338.88x = 502.44 × 502.44
  4. Step 4: Simplify right side
    338.88x = 252,443.44
  5. Step 5: Solve for x
    x = 252,443.44/338.88
  6. Step 6: Final answer
    x = 744.95

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.