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Finding the Third Proportional to 230,101 and 494,357

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Solution

The third proportional to 230,101 and 494,357 is: 1,062,093.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,101 : 494,357 = 494,357 : x
  2. Step 2: Convert to fraction form
    230,101/494,357 = 494,357/x
  3. Step 3: Cross multiply
    230,101x = 494,357 × 494,357
  4. Step 4: Simplify right side
    230,101x = 244,388,843,449
  5. Step 5: Solve for x
    x = 244,388,843,449/230,101
  6. Step 6: Final answer
    x = 1,062,093.79

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.