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Finding the Third Proportional to 203,982 and 444,255

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Solution

The third proportional to 203,982 and 444,255 is: 967,548.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,982 : 444,255 = 444,255 : x
  2. Step 2: Convert to fraction form
    203,982/444,255 = 444,255/x
  3. Step 3: Cross multiply
    203,982x = 444,255 × 444,255
  4. Step 4: Simplify right side
    203,982x = 197,362,505,025
  5. Step 5: Solve for x
    x = 197,362,505,025/203,982
  6. Step 6: Final answer
    x = 967,548.63

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Why These Related Problems?

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