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Finding the Third Proportional to 205,965 and 434,074

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Solution

The third proportional to 205,965 and 434,074 is: 914,816.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,965 : 434,074 = 434,074 : x
  2. Step 2: Convert to fraction form
    205,965/434,074 = 434,074/x
  3. Step 3: Cross multiply
    205,965x = 434,074 × 434,074
  4. Step 4: Simplify right side
    205,965x = 188,420,237,476
  5. Step 5: Solve for x
    x = 188,420,237,476/205,965
  6. Step 6: Final answer
    x = 914,816.78

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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.