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Finding the Third Proportional to 300,563 and 449,901

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Solution

The third proportional to 300,563 and 449,901 is: 673,439.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,563 : 449,901 = 449,901 : x
  2. Step 2: Convert to fraction form
    300,563/449,901 = 449,901/x
  3. Step 3: Cross multiply
    300,563x = 449,901 × 449,901
  4. Step 4: Simplify right side
    300,563x = 202,410,909,801
  5. Step 5: Solve for x
    x = 202,410,909,801/300,563
  6. Step 6: Final answer
    x = 673,439.21

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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.