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Finding the Third Proportional to 276,612 and 427,200

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Solution

The third proportional to 276,612 and 427,200 is: 659,768.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,612 : 427,200 = 427,200 : x
  2. Step 2: Convert to fraction form
    276,612/427,200 = 427,200/x
  3. Step 3: Cross multiply
    276,612x = 427,200 × 427,200
  4. Step 4: Simplify right side
    276,612x = 182,499,840,000
  5. Step 5: Solve for x
    x = 182,499,840,000/276,612
  6. Step 6: Final answer
    x = 659,768.34

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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.