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Finding the Third Proportional to 326,296.97 and 700,793.44

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Solution

The third proportional to 326,296.97 and 700,793.44 is: 1,505,105.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,296.97 : 700,793.44 = 700,793.44 : x
  2. Step 2: Convert to fraction form
    326,296.97/700,793.44 = 700,793.44/x
  3. Step 3: Cross multiply
    326,296.97x = 700,793.44 × 700,793.44
  4. Step 4: Simplify right side
    326,296.97x = 491,111,442,043.07
  5. Step 5: Solve for x
    x = 491,111,442,043.07/326,296.97
  6. Step 6: Final answer
    x = 1,505,105.74

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.