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Finding the Third Proportional to 203,238 and 467,439

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Solution

The third proportional to 203,238 and 467,439 is: 1,075,090.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,238 : 467,439 = 467,439 : x
  2. Step 2: Convert to fraction form
    203,238/467,439 = 467,439/x
  3. Step 3: Cross multiply
    203,238x = 467,439 × 467,439
  4. Step 4: Simplify right side
    203,238x = 218,499,218,721
  5. Step 5: Solve for x
    x = 218,499,218,721/203,238
  6. Step 6: Final answer
    x = 1,075,090.38

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Why These Related Problems?

These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.