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Finding the Third Proportional to 204,855 and 419,835

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Solution

The third proportional to 204,855 and 419,835 is: 860,420.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,855 : 419,835 = 419,835 : x
  2. Step 2: Convert to fraction form
    204,855/419,835 = 419,835/x
  3. Step 3: Cross multiply
    204,855x = 419,835 × 419,835
  4. Step 4: Simplify right side
    204,855x = 176,261,427,225
  5. Step 5: Solve for x
    x = 176,261,427,225/204,855
  6. Step 6: Final answer
    x = 860,420.43

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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.