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Finding the Third Proportional to 446,287.50 and 981,137.50

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Solution

The third proportional to 446,287.50 and 981,137.50 is: 2,156,974.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    446,287.50 : 981,137.50 = 981,137.50 : x
  2. Step 2: Convert to fraction form
    446,287.50/981,137.50 = 981,137.50/x
  3. Step 3: Cross multiply
    446,287.50x = 981,137.50 × 981,137.50
  4. Step 4: Simplify right side
    446,287.50x = 962,630,793,906.25
  5. Step 5: Solve for x
    x = 962,630,793,906.25/446,287.50
  6. Step 6: Final answer
    x = 2,156,974.58

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.