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Finding the Third Proportional to 231,252 and 468,883

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Solution

The third proportional to 231,252 and 468,883 is: 950,699.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,252 : 468,883 = 468,883 : x
  2. Step 2: Convert to fraction form
    231,252/468,883 = 468,883/x
  3. Step 3: Cross multiply
    231,252x = 468,883 × 468,883
  4. Step 4: Simplify right side
    231,252x = 219,851,267,689
  5. Step 5: Solve for x
    x = 219,851,267,689/231,252
  6. Step 6: Final answer
    x = 950,699.96

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.