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Finding the Third Proportional to 453,899 and 682,808

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Solution

The third proportional to 453,899 and 682,808 is: 1,027,159.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    453,899 : 682,808 = 682,808 : x
  2. Step 2: Convert to fraction form
    453,899/682,808 = 682,808/x
  3. Step 3: Cross multiply
    453,899x = 682,808 × 682,808
  4. Step 4: Simplify right side
    453,899x = 466,226,764,864
  5. Step 5: Solve for x
    x = 466,226,764,864/453,899
  6. Step 6: Final answer
    x = 1,027,159.71

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.