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Finding the Third Proportional to 271,147.50 and 590,550.75

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Solution

The third proportional to 271,147.50 and 590,550.75 is: 1,286,201.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,147.50 : 590,550.75 = 590,550.75 : x
  2. Step 2: Convert to fraction form
    271,147.50/590,550.75 = 590,550.75/x
  3. Step 3: Cross multiply
    271,147.50x = 590,550.75 × 590,550.75
  4. Step 4: Simplify right side
    271,147.50x = 348,750,188,325.56
  5. Step 5: Solve for x
    x = 348,750,188,325.56/271,147.50
  6. Step 6: Final answer
    x = 1,286,201.01

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.