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Finding the Third Proportional to 225,944 and 481,912

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Solution

The third proportional to 225,944 and 481,912 is: 1,027,861.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,944 : 481,912 = 481,912 : x
  2. Step 2: Convert to fraction form
    225,944/481,912 = 481,912/x
  3. Step 3: Cross multiply
    225,944x = 481,912 × 481,912
  4. Step 4: Simplify right side
    225,944x = 232,239,175,744
  5. Step 5: Solve for x
    x = 232,239,175,744/225,944
  6. Step 6: Final answer
    x = 1,027,861.66

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.