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Finding the Third Proportional to 338.25 and 738.94

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Solution

The third proportional to 338.25 and 738.94 is: 1,614.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    338.25 : 738.94 = 738.94 : x
  2. Step 2: Convert to fraction form
    338.25/738.94 = 738.94/x
  3. Step 3: Cross multiply
    338.25x = 738.94 × 738.94
  4. Step 4: Simplify right side
    338.25x = 546,028.63
  5. Step 5: Solve for x
    x = 546,028.63/338.25
  6. Step 6: Final answer
    x = 1,614.28

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.