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Finding the Third Proportional to 453,903 and 682,813.50

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Solution

The third proportional to 453,903 and 682,813.50 is: 1,027,167.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    453,903 : 682,813.50 = 682,813.50 : x
  2. Step 2: Convert to fraction form
    453,903/682,813.50 = 682,813.50/x
  3. Step 3: Cross multiply
    453,903x = 682,813.50 × 682,813.50
  4. Step 4: Simplify right side
    453,903x = 466,234,275,782.25
  5. Step 5: Solve for x
    x = 466,234,275,782.25/453,903
  6. Step 6: Final answer
    x = 1,027,167.20

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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.