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Finding the Third Proportional to 225,919.88 and 489,033.38

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Solution

The third proportional to 225,919.88 and 489,033.38 is: 1,058,577.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,919.88 : 489,033.38 = 489,033.38 : x
  2. Step 2: Convert to fraction form
    225,919.88/489,033.38 = 489,033.38/x
  3. Step 3: Cross multiply
    225,919.88x = 489,033.38 × 489,033.38
  4. Step 4: Simplify right side
    225,919.88x = 239,153,641,863.89
  5. Step 5: Solve for x
    x = 239,153,641,863.89/225,919.88
  6. Step 6: Final answer
    x = 1,058,577.26

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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.