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Finding the Third Proportional to 300,529 and 449,857.50

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Solution

The third proportional to 300,529 and 449,857.50 is: 673,385.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,529 : 449,857.50 = 449,857.50 : x
  2. Step 2: Convert to fraction form
    300,529/449,857.50 = 449,857.50/x
  3. Step 3: Cross multiply
    300,529x = 449,857.50 × 449,857.50
  4. Step 4: Simplify right side
    300,529x = 202,371,770,306.25
  5. Step 5: Solve for x
    x = 202,371,770,306.25/300,529
  6. Step 6: Final answer
    x = 673,385.17

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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.