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Finding the Third Proportional to 391,832 and 800,268.50

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Solution

The third proportional to 391,832 and 800,268.50 is: 1,634,449.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    391,832 : 800,268.50 = 800,268.50 : x
  2. Step 2: Convert to fraction form
    391,832/800,268.50 = 800,268.50/x
  3. Step 3: Cross multiply
    391,832x = 800,268.50 × 800,268.50
  4. Step 4: Simplify right side
    391,832x = 640,429,672,092.25
  5. Step 5: Solve for x
    x = 640,429,672,092.25/391,832
  6. Step 6: Final answer
    x = 1,634,449.64

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These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.