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Finding the Third Proportional to 279.75 and 582.25

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Solution

The third proportional to 279.75 and 582.25 is: 1,211.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    279.75 : 582.25 = 582.25 : x
  2. Step 2: Convert to fraction form
    279.75/582.25 = 582.25/x
  3. Step 3: Cross multiply
    279.75x = 582.25 × 582.25
  4. Step 4: Simplify right side
    279.75x = 339,015.06
  5. Step 5: Solve for x
    x = 339,015.06/279.75
  6. Step 6: Final answer
    x = 1,211.85

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.