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Finding the Third Proportional to 324.25 and 708.13

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Solution

The third proportional to 324.25 and 708.13 is: 1,546.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    324.25 : 708.13 = 708.13 : x
  2. Step 2: Convert to fraction form
    324.25/708.13 = 708.13/x
  3. Step 3: Cross multiply
    324.25x = 708.13 × 708.13
  4. Step 4: Simplify right side
    324.25x = 501,441.02
  5. Step 5: Solve for x
    x = 501,441.02/324.25
  6. Step 6: Final answer
    x = 1,546.46

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.