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Finding the Third Proportional to 324.75 and 473.25

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Solution

The third proportional to 324.75 and 473.25 is: 689.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    324.75 : 473.25 = 473.25 : x
  2. Step 2: Convert to fraction form
    324.75/473.25 = 473.25/x
  3. Step 3: Cross multiply
    324.75x = 473.25 × 473.25
  4. Step 4: Simplify right side
    324.75x = 223,965.56
  5. Step 5: Solve for x
    x = 223,965.56/324.75
  6. Step 6: Final answer
    x = 689.66

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.