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Finding the Third Proportional to 629,406 and 949,331

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Solution

The third proportional to 629,406 and 949,331 is: 1,431,872.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    629,406 : 949,331 = 949,331 : x
  2. Step 2: Convert to fraction form
    629,406/949,331 = 949,331/x
  3. Step 3: Cross multiply
    629,406x = 949,331 × 949,331
  4. Step 4: Simplify right side
    629,406x = 901,229,347,561
  5. Step 5: Solve for x
    x = 901,229,347,561/629,406
  6. Step 6: Final answer
    x = 1,431,872.83

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.