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Finding the Third Proportional to 204,869 and 447,098

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Solution

The third proportional to 204,869 and 447,098 is: 975,728.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,869 : 447,098 = 447,098 : x
  2. Step 2: Convert to fraction form
    204,869/447,098 = 447,098/x
  3. Step 3: Cross multiply
    204,869x = 447,098 × 447,098
  4. Step 4: Simplify right side
    204,869x = 199,896,621,604
  5. Step 5: Solve for x
    x = 199,896,621,604/204,869
  6. Step 6: Final answer
    x = 975,728.99

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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.