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Finding the Third Proportional to 453,919.50 and 682,836.75

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Solution

The third proportional to 453,919.50 and 682,836.75 is: 1,027,199.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    453,919.50 : 682,836.75 = 682,836.75 : x
  2. Step 2: Convert to fraction form
    453,919.50/682,836.75 = 682,836.75/x
  3. Step 3: Cross multiply
    453,919.50x = 682,836.75 × 682,836.75
  4. Step 4: Simplify right side
    453,919.50x = 466,266,027,150.56
  5. Step 5: Solve for x
    x = 466,266,027,150.56/453,919.50
  6. Step 6: Final answer
    x = 1,027,199.82

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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.