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Finding the Third Proportional to 195,689 and 419,809

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Solution

The third proportional to 195,689 and 419,809 is: 900,610.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,689 : 419,809 = 419,809 : x
  2. Step 2: Convert to fraction form
    195,689/419,809 = 419,809/x
  3. Step 3: Cross multiply
    195,689x = 419,809 × 419,809
  4. Step 4: Simplify right side
    195,689x = 176,239,596,481
  5. Step 5: Solve for x
    x = 176,239,596,481/195,689
  6. Step 6: Final answer
    x = 900,610.64

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.