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Finding the Third Proportional to 433,568 and 667,257

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Solution

The third proportional to 433,568 and 667,257 is: 1,026,902.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,568 : 667,257 = 667,257 : x
  2. Step 2: Convert to fraction form
    433,568/667,257 = 667,257/x
  3. Step 3: Cross multiply
    433,568x = 667,257 × 667,257
  4. Step 4: Simplify right side
    433,568x = 445,231,904,049
  5. Step 5: Solve for x
    x = 445,231,904,049/433,568
  6. Step 6: Final answer
    x = 1,026,902.13

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.