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Finding the Third Proportional to 416,048 and 627,744

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Solution

The third proportional to 416,048 and 627,744 is: 947,156.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,048 : 627,744 = 627,744 : x
  2. Step 2: Convert to fraction form
    416,048/627,744 = 627,744/x
  3. Step 3: Cross multiply
    416,048x = 627,744 × 627,744
  4. Step 4: Simplify right side
    416,048x = 394,062,529,536
  5. Step 5: Solve for x
    x = 394,062,529,536/416,048
  6. Step 6: Final answer
    x = 947,156.41

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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.