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Finding the Third Proportional to 225,924 and 481,872

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Solution

The third proportional to 225,924 and 481,872 is: 1,027,782.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,924 : 481,872 = 481,872 : x
  2. Step 2: Convert to fraction form
    225,924/481,872 = 481,872/x
  3. Step 3: Cross multiply
    225,924x = 481,872 × 481,872
  4. Step 4: Simplify right side
    225,924x = 232,200,624,384
  5. Step 5: Solve for x
    x = 232,200,624,384/225,924
  6. Step 6: Final answer
    x = 1,027,782.02

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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.