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Finding the Third Proportional to 453,614 and 667,298

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Solution

The third proportional to 453,614 and 667,298 is: 981,642.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    453,614 : 667,298 = 667,298 : x
  2. Step 2: Convert to fraction form
    453,614/667,298 = 667,298/x
  3. Step 3: Cross multiply
    453,614x = 667,298 × 667,298
  4. Step 4: Simplify right side
    453,614x = 445,286,620,804
  5. Step 5: Solve for x
    x = 445,286,620,804/453,614
  6. Step 6: Final answer
    x = 981,642.15

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.