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Finding the Third Proportional to 453,903.75 and 682,814.25

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Solution

The third proportional to 453,903.75 and 682,814.25 is: 1,027,167.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    453,903.75 : 682,814.25 = 682,814.25 : x
  2. Step 2: Convert to fraction form
    453,903.75/682,814.25 = 682,814.25/x
  3. Step 3: Cross multiply
    453,903.75x = 682,814.25 × 682,814.25
  4. Step 4: Simplify right side
    453,903.75x = 466,235,300,003.06
  5. Step 5: Solve for x
    x = 466,235,300,003.06/453,903.75
  6. Step 6: Final answer
    x = 1,027,167.76

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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.