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Finding the Third Proportional to 414,161 and 627,480

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Solution

The third proportional to 414,161 and 627,480 is: 950,671.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,161 : 627,480 = 627,480 : x
  2. Step 2: Convert to fraction form
    414,161/627,480 = 627,480/x
  3. Step 3: Cross multiply
    414,161x = 627,480 × 627,480
  4. Step 4: Simplify right side
    414,161x = 393,731,150,400
  5. Step 5: Solve for x
    x = 393,731,150,400/414,161
  6. Step 6: Final answer
    x = 950,671.72

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.