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Finding the Third Proportional to 219,966 and 481,974

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Solution

The third proportional to 219,966 and 481,974 is: 1,056,067.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,966 : 481,974 = 481,974 : x
  2. Step 2: Convert to fraction form
    219,966/481,974 = 481,974/x
  3. Step 3: Cross multiply
    219,966x = 481,974 × 481,974
  4. Step 4: Simplify right side
    219,966x = 232,298,936,676
  5. Step 5: Solve for x
    x = 232,298,936,676/219,966
  6. Step 6: Final answer
    x = 1,056,067.47

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Why These Related Problems?

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