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Finding the Third Proportional to 279,661 and 419,521.50

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Solution

The third proportional to 279,661 and 419,521.50 is: 629,327.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,661 : 419,521.50 = 419,521.50 : x
  2. Step 2: Convert to fraction form
    279,661/419,521.50 = 419,521.50/x
  3. Step 3: Cross multiply
    279,661x = 419,521.50 × 419,521.50
  4. Step 4: Simplify right side
    279,661x = 175,998,288,962.25
  5. Step 5: Solve for x
    x = 175,998,288,962.25/279,661
  6. Step 6: Final answer
    x = 629,327.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.