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Finding the Third Proportional to 204,869 and 443,434

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Solution

The third proportional to 204,869 and 443,434 is: 959,802.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,869 : 443,434 = 443,434 : x
  2. Step 2: Convert to fraction form
    204,869/443,434 = 443,434/x
  3. Step 3: Cross multiply
    204,869x = 443,434 × 443,434
  4. Step 4: Simplify right side
    204,869x = 196,633,712,356
  5. Step 5: Solve for x
    x = 196,633,712,356/204,869
  6. Step 6: Final answer
    x = 959,802.18

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.