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Finding the Third Proportional to 276,415.50 and 416,571

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Solution

The third proportional to 276,415.50 and 416,571 is: 627,791.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,415.50 : 416,571 = 416,571 : x
  2. Step 2: Convert to fraction form
    276,415.50/416,571 = 416,571/x
  3. Step 3: Cross multiply
    276,415.50x = 416,571 × 416,571
  4. Step 4: Simplify right side
    276,415.50x = 173,531,398,041
  5. Step 5: Solve for x
    x = 173,531,398,041/276,415.50
  6. Step 6: Final answer
    x = 627,791.85

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.