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Finding the Third Proportional to 231,966 and 508,761

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Solution

The third proportional to 231,966 and 508,761 is: 1,115,843.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,966 : 508,761 = 508,761 : x
  2. Step 2: Convert to fraction form
    231,966/508,761 = 508,761/x
  3. Step 3: Cross multiply
    231,966x = 508,761 × 508,761
  4. Step 4: Simplify right side
    231,966x = 258,837,755,121
  5. Step 5: Solve for x
    x = 258,837,755,121/231,966
  6. Step 6: Final answer
    x = 1,115,843.51

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.