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Finding the Third Proportional to 409,226.75 and 892,791.25

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Solution

The third proportional to 409,226.75 and 892,791.25 is: 1,947,761.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,226.75 : 892,791.25 = 892,791.25 : x
  2. Step 2: Convert to fraction form
    409,226.75/892,791.25 = 892,791.25/x
  3. Step 3: Cross multiply
    409,226.75x = 892,791.25 × 892,791.25
  4. Step 4: Simplify right side
    409,226.75x = 797,076,216,076.56
  5. Step 5: Solve for x
    x = 797,076,216,076.56/409,226.75
  6. Step 6: Final answer
    x = 1,947,761.76

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.