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Finding the Third Proportional to 417,832 and 627,672

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Solution

The third proportional to 417,832 and 627,672 is: 942,896.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,832 : 627,672 = 627,672 : x
  2. Step 2: Convert to fraction form
    417,832/627,672 = 627,672/x
  3. Step 3: Cross multiply
    417,832x = 627,672 × 627,672
  4. Step 4: Simplify right side
    417,832x = 393,972,139,584
  5. Step 5: Solve for x
    x = 393,972,139,584/417,832
  6. Step 6: Final answer
    x = 942,896.04

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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.