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Finding the Third Proportional to 225,923.25 and 489,039.75

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Solution

The third proportional to 225,923.25 and 489,039.75 is: 1,058,589.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,923.25 : 489,039.75 = 489,039.75 : x
  2. Step 2: Convert to fraction form
    225,923.25/489,039.75 = 489,039.75/x
  3. Step 3: Cross multiply
    225,923.25x = 489,039.75 × 489,039.75
  4. Step 4: Simplify right side
    225,923.25x = 239,159,877,080.06
  5. Step 5: Solve for x
    x = 239,159,877,080.06/225,923.25
  6. Step 6: Final answer
    x = 1,058,589.04

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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.