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Finding the Third Proportional to 392,183.44 and 831,456.56

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Solution

The third proportional to 392,183.44 and 831,456.56 is: 1,762,746.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,183.44 : 831,456.56 = 831,456.56 : x
  2. Step 2: Convert to fraction form
    392,183.44/831,456.56 = 831,456.56/x
  3. Step 3: Cross multiply
    392,183.44x = 831,456.56 × 831,456.56
  4. Step 4: Simplify right side
    392,183.44x = 691,320,015,324.32
  5. Step 5: Solve for x
    x = 691,320,015,324.32/392,183.44
  6. Step 6: Final answer
    x = 1,762,746.59

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.