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Finding the Third Proportional to 392,994.28 and 800,440.73

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Solution

The third proportional to 392,994.28 and 800,440.73 is: 1,630,317.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,994.28 : 800,440.73 = 800,440.73 : x
  2. Step 2: Convert to fraction form
    392,994.28/800,440.73 = 800,440.73/x
  3. Step 3: Cross multiply
    392,994.28x = 800,440.73 × 800,440.73
  4. Step 4: Simplify right side
    392,994.28x = 640,705,369,246.79
  5. Step 5: Solve for x
    x = 640,705,369,246.79/392,994.28
  6. Step 6: Final answer
    x = 1,630,317.28

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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.