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Finding the Third Proportional to 231,951 and 494,277

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Solution

The third proportional to 231,951 and 494,277 is: 1,053,281.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,951 : 494,277 = 494,277 : x
  2. Step 2: Convert to fraction form
    231,951/494,277 = 494,277/x
  3. Step 3: Cross multiply
    231,951x = 494,277 × 494,277
  4. Step 4: Simplify right side
    231,951x = 244,309,752,729
  5. Step 5: Solve for x
    x = 244,309,752,729/231,951
  6. Step 6: Final answer
    x = 1,053,281.74

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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.