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Finding the Third Proportional to 276,591 and 427,170

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Solution

The third proportional to 276,591 and 427,170 is: 659,725.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,591 : 427,170 = 427,170 : x
  2. Step 2: Convert to fraction form
    276,591/427,170 = 427,170/x
  3. Step 3: Cross multiply
    276,591x = 427,170 × 427,170
  4. Step 4: Simplify right side
    276,591x = 182,474,208,900
  5. Step 5: Solve for x
    x = 182,474,208,900/276,591
  6. Step 6: Final answer
    x = 659,725.76

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.