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Finding the Third Proportional to 324.75 and 485.63

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Solution

The third proportional to 324.75 and 485.63 is: 726.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    324.75 : 485.63 = 485.63 : x
  2. Step 2: Convert to fraction form
    324.75/485.63 = 485.63/x
  3. Step 3: Cross multiply
    324.75x = 485.63 × 485.63
  4. Step 4: Simplify right side
    324.75x = 235,831.64
  5. Step 5: Solve for x
    x = 235,831.64/324.75
  6. Step 6: Final answer
    x = 726.19

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.