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Finding the Third Proportional to 220,950 and 474,599.25

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Solution

The third proportional to 220,950 and 474,599.25 is: 1,019,436.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,950 : 474,599.25 = 474,599.25 : x
  2. Step 2: Convert to fraction form
    220,950/474,599.25 = 474,599.25/x
  3. Step 3: Cross multiply
    220,950x = 474,599.25 × 474,599.25
  4. Step 4: Simplify right side
    220,950x = 225,244,448,100.56
  5. Step 5: Solve for x
    x = 225,244,448,100.56/220,950
  6. Step 6: Final answer
    x = 1,019,436.29

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.