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Finding the Third Proportional to 269.96 and 582.54

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Solution

The third proportional to 269.96 and 582.54 is: 1,257.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    269.96 : 582.54 = 582.54 : x
  2. Step 2: Convert to fraction form
    269.96/582.54 = 582.54/x
  3. Step 3: Cross multiply
    269.96x = 582.54 × 582.54
  4. Step 4: Simplify right side
    269.96x = 339,351.76
  5. Step 5: Solve for x
    x = 339,351.76/269.96
  6. Step 6: Final answer
    x = 1,257.02

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.