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Finding the Third Proportional to 324.16 and 483.63

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Solution

The third proportional to 324.16 and 483.63 is: 721.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    324.16 : 483.63 = 483.63 : x
  2. Step 2: Convert to fraction form
    324.16/483.63 = 483.63/x
  3. Step 3: Cross multiply
    324.16x = 483.63 × 483.63
  4. Step 4: Simplify right side
    324.16x = 233,895.03
  5. Step 5: Solve for x
    x = 233,895.03/324.16
  6. Step 6: Final answer
    x = 721.55

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.