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Finding the Third Proportional to 203,985 and 444,261

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Solution

The third proportional to 203,985 and 444,261 is: 967,560.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,985 : 444,261 = 444,261 : x
  2. Step 2: Convert to fraction form
    203,985/444,261 = 444,261/x
  3. Step 3: Cross multiply
    203,985x = 444,261 × 444,261
  4. Step 4: Simplify right side
    203,985x = 197,367,836,121
  5. Step 5: Solve for x
    x = 197,367,836,121/203,985
  6. Step 6: Final answer
    x = 967,560.54

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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.