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Finding the Third Proportional to 453,226 and 667,311

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Solution

The third proportional to 453,226 and 667,311 is: 982,520.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    453,226 : 667,311 = 667,311 : x
  2. Step 2: Convert to fraction form
    453,226/667,311 = 667,311/x
  3. Step 3: Cross multiply
    453,226x = 667,311 × 667,311
  4. Step 4: Simplify right side
    453,226x = 445,303,970,721
  5. Step 5: Solve for x
    x = 445,303,970,721/453,226
  6. Step 6: Final answer
    x = 982,520.80

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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.