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Finding the Third Proportional to 225,903 and 481,830

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Solution

The third proportional to 225,903 and 481,830 is: 1,027,698.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,903 : 481,830 = 481,830 : x
  2. Step 2: Convert to fraction form
    225,903/481,830 = 481,830/x
  3. Step 3: Cross multiply
    225,903x = 481,830 × 481,830
  4. Step 4: Simplify right side
    225,903x = 232,160,148,900
  5. Step 5: Solve for x
    x = 232,160,148,900/225,903
  6. Step 6: Final answer
    x = 1,027,698.39

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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.