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Finding the Third Proportional to 204,978 and 449,444

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Solution

The third proportional to 204,978 and 449,444 is: 985,471.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,978 : 449,444 = 449,444 : x
  2. Step 2: Convert to fraction form
    204,978/449,444 = 449,444/x
  3. Step 3: Cross multiply
    204,978x = 449,444 × 449,444
  4. Step 4: Simplify right side
    204,978x = 201,999,909,136
  5. Step 5: Solve for x
    x = 201,999,909,136/204,978
  6. Step 6: Final answer
    x = 985,471.17

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.