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Finding the Third Proportional to 414,436 and 629,754

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Solution

The third proportional to 414,436 and 629,754 is: 956,939.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,436 : 629,754 = 629,754 : x
  2. Step 2: Convert to fraction form
    414,436/629,754 = 629,754/x
  3. Step 3: Cross multiply
    414,436x = 629,754 × 629,754
  4. Step 4: Simplify right side
    414,436x = 396,590,100,516
  5. Step 5: Solve for x
    x = 396,590,100,516/414,436
  6. Step 6: Final answer
    x = 956,939.31

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.