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Finding the Third Proportional to 231,828 and 494,275

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Solution

The third proportional to 231,828 and 494,275 is: 1,053,832.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,828 : 494,275 = 494,275 : x
  2. Step 2: Convert to fraction form
    231,828/494,275 = 494,275/x
  3. Step 3: Cross multiply
    231,828x = 494,275 × 494,275
  4. Step 4: Simplify right side
    231,828x = 244,307,775,625
  5. Step 5: Solve for x
    x = 244,307,775,625/231,828
  6. Step 6: Final answer
    x = 1,053,832.05

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.