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Finding the Third Proportional to 204,786 and 419,778

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Solution

The third proportional to 204,786 and 419,778 is: 860,476.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,786 : 419,778 = 419,778 : x
  2. Step 2: Convert to fraction form
    204,786/419,778 = 419,778/x
  3. Step 3: Cross multiply
    204,786x = 419,778 × 419,778
  4. Step 4: Simplify right side
    204,786x = 176,213,569,284
  5. Step 5: Solve for x
    x = 176,213,569,284/204,786
  6. Step 6: Final answer
    x = 860,476.64

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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.