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Finding the Third Proportional to 467.44 and 679.31

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Solution

The third proportional to 467.44 and 679.31 is: 987.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    467.44 : 679.31 = 679.31 : x
  2. Step 2: Convert to fraction form
    467.44/679.31 = 679.31/x
  3. Step 3: Cross multiply
    467.44x = 679.31 × 679.31
  4. Step 4: Simplify right side
    467.44x = 461,465.47
  5. Step 5: Solve for x
    x = 461,465.47/467.44
  6. Step 6: Final answer
    x = 987.22

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.