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Finding the Third Proportional to 205,738 and 449,924

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Solution

The third proportional to 205,738 and 449,924 is: 983,929.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,738 : 449,924 = 449,924 : x
  2. Step 2: Convert to fraction form
    205,738/449,924 = 449,924/x
  3. Step 3: Cross multiply
    205,738x = 449,924 × 449,924
  4. Step 4: Simplify right side
    205,738x = 202,431,605,776
  5. Step 5: Solve for x
    x = 202,431,605,776/205,738
  6. Step 6: Final answer
    x = 983,929.10

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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.