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Finding the Third Proportional to 416.50 and 626

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Solution

The third proportional to 416.50 and 626 is: 940.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    416.50 : 626 = 626 : x
  2. Step 2: Convert to fraction form
    416.50/626 = 626/x
  3. Step 3: Cross multiply
    416.50x = 626 × 626
  4. Step 4: Simplify right side
    416.50x = 391,876
  5. Step 5: Solve for x
    x = 391,876/416.50
  6. Step 6: Final answer
    x = 940.88

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.