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Finding the Third Proportional to 225,924.75 and 489,042.75

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Solution

The third proportional to 225,924.75 and 489,042.75 is: 1,058,595.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,924.75 : 489,042.75 = 489,042.75 : x
  2. Step 2: Convert to fraction form
    225,924.75/489,042.75 = 489,042.75/x
  3. Step 3: Cross multiply
    225,924.75x = 489,042.75 × 489,042.75
  4. Step 4: Simplify right side
    225,924.75x = 239,162,811,327.56
  5. Step 5: Solve for x
    x = 239,162,811,327.56/225,924.75
  6. Step 6: Final answer
    x = 1,058,595.00

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