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Finding the Third Proportional to 267,869 and 416,505

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Solution

The third proportional to 267,869 and 416,505 is: 647,616.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,869 : 416,505 = 416,505 : x
  2. Step 2: Convert to fraction form
    267,869/416,505 = 416,505/x
  3. Step 3: Cross multiply
    267,869x = 416,505 × 416,505
  4. Step 4: Simplify right side
    267,869x = 173,476,415,025
  5. Step 5: Solve for x
    x = 173,476,415,025/267,869
  6. Step 6: Final answer
    x = 647,616.61

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.