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Finding the Third Proportional to 263,252.53 and 397,234.13

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Solution

The third proportional to 263,252.53 and 397,234.13 is: 599,405.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,252.53 : 397,234.13 = 397,234.13 : x
  2. Step 2: Convert to fraction form
    263,252.53/397,234.13 = 397,234.13/x
  3. Step 3: Cross multiply
    263,252.53x = 397,234.13 × 397,234.13
  4. Step 4: Simplify right side
    263,252.53x = 157,794,950,064.52
  5. Step 5: Solve for x
    x = 157,794,950,064.52/263,252.53
  6. Step 6: Final answer
    x = 599,405.25

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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.