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Finding the Third Proportional to 226,338.75 and 489,429.56

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Solution

The third proportional to 226,338.75 and 489,429.56 is: 1,058,330.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,338.75 : 489,429.56 = 489,429.56 : x
  2. Step 2: Convert to fraction form
    226,338.75/489,429.56 = 489,429.56/x
  3. Step 3: Cross multiply
    226,338.75x = 489,429.56 × 489,429.56
  4. Step 4: Simplify right side
    226,338.75x = 239,541,296,648.94
  5. Step 5: Solve for x
    x = 239,541,296,648.94/226,338.75
  6. Step 6: Final answer
    x = 1,058,330.92

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.