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Finding the Third Proportional to 236,475.75 and 518,939.25

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Solution

The third proportional to 236,475.75 and 518,939.25 is: 1,138,797.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,475.75 : 518,939.25 = 518,939.25 : x
  2. Step 2: Convert to fraction form
    236,475.75/518,939.25 = 518,939.25/x
  3. Step 3: Cross multiply
    236,475.75x = 518,939.25 × 518,939.25
  4. Step 4: Simplify right side
    236,475.75x = 269,297,945,190.56
  5. Step 5: Solve for x
    x = 269,297,945,190.56/236,475.75
  6. Step 6: Final answer
    x = 1,138,797.30

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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.