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Finding the Third Proportional to 205,877 and 433,891

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Solution

The third proportional to 205,877 and 433,891 is: 914,436.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,877 : 433,891 = 433,891 : x
  2. Step 2: Convert to fraction form
    205,877/433,891 = 433,891/x
  3. Step 3: Cross multiply
    205,877x = 433,891 × 433,891
  4. Step 4: Simplify right side
    205,877x = 188,261,399,881
  5. Step 5: Solve for x
    x = 188,261,399,881/205,877
  6. Step 6: Final answer
    x = 914,436.29

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.