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Finding the Third Proportional to 367,193 and 806,652

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Solution

The third proportional to 367,193 and 806,652 is: 1,772,058.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,193 : 806,652 = 806,652 : x
  2. Step 2: Convert to fraction form
    367,193/806,652 = 806,652/x
  3. Step 3: Cross multiply
    367,193x = 806,652 × 806,652
  4. Step 4: Simplify right side
    367,193x = 650,687,449,104
  5. Step 5: Solve for x
    x = 650,687,449,104/367,193
  6. Step 6: Final answer
    x = 1,772,058.42

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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.