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Finding the Third Proportional to 447,372.49 and 946,563.79

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Solution

The third proportional to 447,372.49 and 946,563.79 is: 2,002,767.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    447,372.49 : 946,563.79 = 946,563.79 : x
  2. Step 2: Convert to fraction form
    447,372.49/946,563.79 = 946,563.79/x
  3. Step 3: Cross multiply
    447,372.49x = 946,563.79 × 946,563.79
  4. Step 4: Simplify right side
    447,372.49x = 895,982,999,369.33
  5. Step 5: Solve for x
    x = 895,982,999,369.33/447,372.49
  6. Step 6: Final answer
    x = 2,002,767.30

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.