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Finding the Third Proportional to 205,874 and 433,884

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Solution

The third proportional to 205,874 and 433,884 is: 914,420.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,874 : 433,884 = 433,884 : x
  2. Step 2: Convert to fraction form
    205,874/433,884 = 433,884/x
  3. Step 3: Cross multiply
    205,874x = 433,884 × 433,884
  4. Step 4: Simplify right side
    205,874x = 188,255,325,456
  5. Step 5: Solve for x
    x = 188,255,325,456/205,874
  6. Step 6: Final answer
    x = 914,420.11

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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.