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Finding the Third Proportional to 324.37 and 464.92

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Solution

The third proportional to 324.37 and 464.92 is: 666.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    324.37 : 464.92 = 464.92 : x
  2. Step 2: Convert to fraction form
    324.37/464.92 = 464.92/x
  3. Step 3: Cross multiply
    324.37x = 464.92 × 464.92
  4. Step 4: Simplify right side
    324.37x = 216,154.68
  5. Step 5: Solve for x
    x = 216,154.68/324.37
  6. Step 6: Final answer
    x = 666.39

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.