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Finding the Third Proportional to 416,054 and 627,753

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Solution

The third proportional to 416,054 and 627,753 is: 947,169.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,054 : 627,753 = 627,753 : x
  2. Step 2: Convert to fraction form
    416,054/627,753 = 627,753/x
  3. Step 3: Cross multiply
    416,054x = 627,753 × 627,753
  4. Step 4: Simplify right side
    416,054x = 394,073,829,009
  5. Step 5: Solve for x
    x = 394,073,829,009/416,054
  6. Step 6: Final answer
    x = 947,169.91

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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.