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Finding the Third Proportional to 260,297.25 and 570,450.75

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Solution

The third proportional to 260,297.25 and 570,450.75 is: 1,250,163.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,297.25 : 570,450.75 = 570,450.75 : x
  2. Step 2: Convert to fraction form
    260,297.25/570,450.75 = 570,450.75/x
  3. Step 3: Cross multiply
    260,297.25x = 570,450.75 × 570,450.75
  4. Step 4: Simplify right side
    260,297.25x = 325,414,058,175.56
  5. Step 5: Solve for x
    x = 325,414,058,175.56/260,297.25
  6. Step 6: Final answer
    x = 1,250,163.26

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.