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Finding the Third Proportional to 225,850.50 and 445,989

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Solution

The third proportional to 225,850.50 and 445,989 is: 880,698.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,850.50 : 445,989 = 445,989 : x
  2. Step 2: Convert to fraction form
    225,850.50/445,989 = 445,989/x
  3. Step 3: Cross multiply
    225,850.50x = 445,989 × 445,989
  4. Step 4: Simplify right side
    225,850.50x = 198,906,188,121
  5. Step 5: Solve for x
    x = 198,906,188,121/225,850.50
  6. Step 6: Final answer
    x = 880,698.46

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.