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Finding the Third Proportional to 324 and 475.31

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Solution

The third proportional to 324 and 475.31 is: 697.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    324 : 475.31 = 475.31 : x
  2. Step 2: Convert to fraction form
    324/475.31 = 475.31/x
  3. Step 3: Cross multiply
    324x = 475.31 × 475.31
  4. Step 4: Simplify right side
    324x = 225,921.97
  5. Step 5: Solve for x
    x = 225,921.97/324
  6. Step 6: Final answer
    x = 697.29

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.