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Finding the Third Proportional to 187,963 and 413,311

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Solution

The third proportional to 187,963 and 413,311 is: 908,827.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,963 : 413,311 = 413,311 : x
  2. Step 2: Convert to fraction form
    187,963/413,311 = 413,311/x
  3. Step 3: Cross multiply
    187,963x = 413,311 × 413,311
  4. Step 4: Simplify right side
    187,963x = 170,825,982,721
  5. Step 5: Solve for x
    x = 170,825,982,721/187,963
  6. Step 6: Final answer
    x = 908,827.71

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.