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Finding the Third Proportional to 233,277.75 and 481,275

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Solution

The third proportional to 233,277.75 and 481,275 is: 992,917.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,277.75 : 481,275 = 481,275 : x
  2. Step 2: Convert to fraction form
    233,277.75/481,275 = 481,275/x
  3. Step 3: Cross multiply
    233,277.75x = 481,275 × 481,275
  4. Step 4: Simplify right side
    233,277.75x = 231,625,625,625
  5. Step 5: Solve for x
    x = 231,625,625,625/233,277.75
  6. Step 6: Final answer
    x = 992,917.78

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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.