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Finding the Third Proportional to 437,067 and 659,620.50

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Solution

The third proportional to 437,067 and 659,620.50 is: 995,497.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    437,067 : 659,620.50 = 659,620.50 : x
  2. Step 2: Convert to fraction form
    437,067/659,620.50 = 659,620.50/x
  3. Step 3: Cross multiply
    437,067x = 659,620.50 × 659,620.50
  4. Step 4: Simplify right side
    437,067x = 435,099,204,020.25
  5. Step 5: Solve for x
    x = 435,099,204,020.25/437,067
  6. Step 6: Final answer
    x = 995,497.72

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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.