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Finding the Third Proportional to 276.88 and 582.44

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Solution

The third proportional to 276.88 and 582.44 is: 1,225.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    276.88 : 582.44 = 582.44 : x
  2. Step 2: Convert to fraction form
    276.88/582.44 = 582.44/x
  3. Step 3: Cross multiply
    276.88x = 582.44 × 582.44
  4. Step 4: Simplify right side
    276.88x = 339,233.44
  5. Step 5: Solve for x
    x = 339,233.44/276.88
  6. Step 6: Final answer
    x = 1,225.22

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.