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Finding the Third Proportional to 276,622.50 and 427,215

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Solution

The third proportional to 276,622.50 and 427,215 is: 659,789.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,622.50 : 427,215 = 427,215 : x
  2. Step 2: Convert to fraction form
    276,622.50/427,215 = 427,215/x
  3. Step 3: Cross multiply
    276,622.50x = 427,215 × 427,215
  4. Step 4: Simplify right side
    276,622.50x = 182,512,656,225
  5. Step 5: Solve for x
    x = 182,512,656,225/276,622.50
  6. Step 6: Final answer
    x = 659,789.63

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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.