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Finding the Third Proportional to 233,295.75 and 481,311

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Solution

The third proportional to 233,295.75 and 481,311 is: 992,989.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,295.75 : 481,311 = 481,311 : x
  2. Step 2: Convert to fraction form
    233,295.75/481,311 = 481,311/x
  3. Step 3: Cross multiply
    233,295.75x = 481,311 × 481,311
  4. Step 4: Simplify right side
    233,295.75x = 231,660,278,721
  5. Step 5: Solve for x
    x = 231,660,278,721/233,295.75
  6. Step 6: Final answer
    x = 992,989.71

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.