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Finding the Third Proportional to 205,766 and 450,924

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Solution

The third proportional to 205,766 and 450,924 is: 988,173.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,766 : 450,924 = 450,924 : x
  2. Step 2: Convert to fraction form
    205,766/450,924 = 450,924/x
  3. Step 3: Cross multiply
    205,766x = 450,924 × 450,924
  4. Step 4: Simplify right side
    205,766x = 203,332,453,776
  5. Step 5: Solve for x
    x = 203,332,453,776/205,766
  6. Step 6: Final answer
    x = 988,173.23

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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.