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Finding the Third Proportional to 467.44 and 673.31

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Solution

The third proportional to 467.44 and 673.31 is: 969.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    467.44 : 673.31 = 673.31 : x
  2. Step 2: Convert to fraction form
    467.44/673.31 = 673.31/x
  3. Step 3: Cross multiply
    467.44x = 673.31 × 673.31
  4. Step 4: Simplify right side
    467.44x = 453,349.72
  5. Step 5: Solve for x
    x = 453,349.72/467.44
  6. Step 6: Final answer
    x = 969.86

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.