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Finding the Third Proportional to 416,367 and 629,086

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Solution

The third proportional to 416,367 and 629,086 is: 950,481.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,367 : 629,086 = 629,086 : x
  2. Step 2: Convert to fraction form
    416,367/629,086 = 629,086/x
  3. Step 3: Cross multiply
    416,367x = 629,086 × 629,086
  4. Step 4: Simplify right side
    416,367x = 395,749,195,396
  5. Step 5: Solve for x
    x = 395,749,195,396/416,367
  6. Step 6: Final answer
    x = 950,481.66

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.