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Finding the Third Proportional to 225,952 and 481,927

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Solution

The third proportional to 225,952 and 481,927 is: 1,027,889.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,952 : 481,927 = 481,927 : x
  2. Step 2: Convert to fraction form
    225,952/481,927 = 481,927/x
  3. Step 3: Cross multiply
    225,952x = 481,927 × 481,927
  4. Step 4: Simplify right side
    225,952x = 232,253,633,329
  5. Step 5: Solve for x
    x = 232,253,633,329/225,952
  6. Step 6: Final answer
    x = 1,027,889.26

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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.