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Finding the Third Proportional to 205,927 and 421,887

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Solution

The third proportional to 205,927 and 421,887 is: 864,328.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,927 : 421,887 = 421,887 : x
  2. Step 2: Convert to fraction form
    205,927/421,887 = 421,887/x
  3. Step 3: Cross multiply
    205,927x = 421,887 × 421,887
  4. Step 4: Simplify right side
    205,927x = 177,988,640,769
  5. Step 5: Solve for x
    x = 177,988,640,769/205,927
  6. Step 6: Final answer
    x = 864,328.82

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.