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Finding the Third Proportional to 453,634.50 and 667,311.75

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Solution

The third proportional to 453,634.50 and 667,311.75 is: 981,638.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    453,634.50 : 667,311.75 = 667,311.75 : x
  2. Step 2: Convert to fraction form
    453,634.50/667,311.75 = 667,311.75/x
  3. Step 3: Cross multiply
    453,634.50x = 667,311.75 × 667,311.75
  4. Step 4: Simplify right side
    453,634.50x = 445,304,971,688.06
  5. Step 5: Solve for x
    x = 445,304,971,688.06/453,634.50
  6. Step 6: Final answer
    x = 981,638.24

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Why These Related Problems?

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