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Finding the Third Proportional to 300,482 and 449,785

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Solution

The third proportional to 300,482 and 449,785 is: 673,273.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,482 : 449,785 = 449,785 : x
  2. Step 2: Convert to fraction form
    300,482/449,785 = 449,785/x
  3. Step 3: Cross multiply
    300,482x = 449,785 × 449,785
  4. Step 4: Simplify right side
    300,482x = 202,306,546,225
  5. Step 5: Solve for x
    x = 202,306,546,225/300,482
  6. Step 6: Final answer
    x = 673,273.43

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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.