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Finding the Third Proportional to 408,840.75 and 954,942.75

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Solution

The third proportional to 408,840.75 and 954,942.75 is: 2,230,491.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,840.75 : 954,942.75 = 954,942.75 : x
  2. Step 2: Convert to fraction form
    408,840.75/954,942.75 = 954,942.75/x
  3. Step 3: Cross multiply
    408,840.75x = 954,942.75 × 954,942.75
  4. Step 4: Simplify right side
    408,840.75x = 911,915,655,777.56
  5. Step 5: Solve for x
    x = 911,915,655,777.56/408,840.75
  6. Step 6: Final answer
    x = 2,230,491.10

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.