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Finding the Third Proportional to 300,493 and 449,785.50

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Solution

The third proportional to 300,493 and 449,785.50 is: 673,250.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,493 : 449,785.50 = 449,785.50 : x
  2. Step 2: Convert to fraction form
    300,493/449,785.50 = 449,785.50/x
  3. Step 3: Cross multiply
    300,493x = 449,785.50 × 449,785.50
  4. Step 4: Simplify right side
    300,493x = 202,306,996,010.25
  5. Step 5: Solve for x
    x = 202,306,996,010.25/300,493
  6. Step 6: Final answer
    x = 673,250.28

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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.