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Finding the Third Proportional to 276.12 and 514.76

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Solution

The third proportional to 276.12 and 514.76 is: 959.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    276.12 : 514.76 = 514.76 : x
  2. Step 2: Convert to fraction form
    276.12/514.76 = 514.76/x
  3. Step 3: Cross multiply
    276.12x = 514.76 × 514.76
  4. Step 4: Simplify right side
    276.12x = 264,975.61
  5. Step 5: Solve for x
    x = 264,975.61/276.12
  6. Step 6: Final answer
    x = 959.65

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Why These Related Problems?

These problems maintain the same ratio (1.86) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.