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Finding the Third Proportional to 218.44 and 582.09

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Solution

The third proportional to 218.44 and 582.09 is: 1,551.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    218.44 : 582.09 = 582.09 : x
  2. Step 2: Convert to fraction form
    218.44/582.09 = 582.09/x
  3. Step 3: Cross multiply
    218.44x = 582.09 × 582.09
  4. Step 4: Simplify right side
    218.44x = 338,833.13
  5. Step 5: Solve for x
    x = 338,833.13/218.44
  6. Step 6: Final answer
    x = 1,551.17

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Why These Related Problems?

These problems maintain the same ratio (2.66) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.