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Finding the Third Proportional to 263,229.75 and 397,213.88

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Solution

The third proportional to 263,229.75 and 397,213.88 is: 599,396.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,229.75 : 397,213.88 = 397,213.88 : x
  2. Step 2: Convert to fraction form
    263,229.75/397,213.88 = 397,213.88/x
  3. Step 3: Cross multiply
    263,229.75x = 397,213.88 × 397,213.88
  4. Step 4: Simplify right side
    263,229.75x = 157,778,862,492.52
  5. Step 5: Solve for x
    x = 157,778,862,492.52/263,229.75
  6. Step 6: Final answer
    x = 599,396.01

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.