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Finding the Third Proportional to 225,922.50 and 489,039

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Solution

The third proportional to 225,922.50 and 489,039 is: 1,058,589.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,922.50 : 489,039 = 489,039 : x
  2. Step 2: Convert to fraction form
    225,922.50/489,039 = 489,039/x
  3. Step 3: Cross multiply
    225,922.50x = 489,039 × 489,039
  4. Step 4: Simplify right side
    225,922.50x = 239,159,143,521
  5. Step 5: Solve for x
    x = 239,159,143,521/225,922.50
  6. Step 6: Final answer
    x = 1,058,589.31

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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.