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Finding the Third Proportional to 203,976 and 444,244.50

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Solution

The third proportional to 203,976 and 444,244.50 is: 967,531.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,976 : 444,244.50 = 444,244.50 : x
  2. Step 2: Convert to fraction form
    203,976/444,244.50 = 444,244.50/x
  3. Step 3: Cross multiply
    203,976x = 444,244.50 × 444,244.50
  4. Step 4: Simplify right side
    203,976x = 197,353,175,780.25
  5. Step 5: Solve for x
    x = 197,353,175,780.25/203,976
  6. Step 6: Final answer
    x = 967,531.36

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.