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Finding the Third Proportional to 276.19 and 580.75

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Solution

The third proportional to 276.19 and 580.75 is: 1,221.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    276.19 : 580.75 = 580.75 : x
  2. Step 2: Convert to fraction form
    276.19/580.75 = 580.75/x
  3. Step 3: Cross multiply
    276.19x = 580.75 × 580.75
  4. Step 4: Simplify right side
    276.19x = 337,270.56
  5. Step 5: Solve for x
    x = 337,270.56/276.19
  6. Step 6: Final answer
    x = 1,221.17

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Why These Related Problems?

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