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Finding the Third Proportional to 340.31 and 767.44

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Solution

The third proportional to 340.31 and 767.44 is: 1,730.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    340.31 : 767.44 = 767.44 : x
  2. Step 2: Convert to fraction form
    340.31/767.44 = 767.44/x
  3. Step 3: Cross multiply
    340.31x = 767.44 × 767.44
  4. Step 4: Simplify right side
    340.31x = 588,960.32
  5. Step 5: Solve for x
    x = 588,960.32/340.31
  6. Step 6: Final answer
    x = 1,730.65

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Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.