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Finding the Third Proportional to 350.74 and 767.44

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Solution

The third proportional to 350.74 and 767.44 is: 1,679.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    350.74 : 767.44 = 767.44 : x
  2. Step 2: Convert to fraction form
    350.74/767.44 = 767.44/x
  3. Step 3: Cross multiply
    350.74x = 767.44 × 767.44
  4. Step 4: Simplify right side
    350.74x = 588,969.31
  5. Step 5: Solve for x
    x = 588,969.31/350.74
  6. Step 6: Final answer
    x = 1,679.24

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.