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Finding the Third Proportional to 275,238 and 421,062.75

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Solution

The third proportional to 275,238 and 421,062.75 is: 644,147.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,238 : 421,062.75 = 421,062.75 : x
  2. Step 2: Convert to fraction form
    275,238/421,062.75 = 421,062.75/x
  3. Step 3: Cross multiply
    275,238x = 421,062.75 × 421,062.75
  4. Step 4: Simplify right side
    275,238x = 177,293,839,437.56
  5. Step 5: Solve for x
    x = 177,293,839,437.56/275,238
  6. Step 6: Final answer
    x = 644,147.39

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.