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Finding the Third Proportional to 204,649 and 419,440

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Solution

The third proportional to 204,649 and 419,440 is: 859,666.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,649 : 419,440 = 419,440 : x
  2. Step 2: Convert to fraction form
    204,649/419,440 = 419,440/x
  3. Step 3: Cross multiply
    204,649x = 419,440 × 419,440
  4. Step 4: Simplify right side
    204,649x = 175,929,913,600
  5. Step 5: Solve for x
    x = 175,929,913,600/204,649
  6. Step 6: Final answer
    x = 859,666.62

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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.