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Finding the Third Proportional to 414,464 and 623,234

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Solution

The third proportional to 414,464 and 623,234 is: 937,163.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,464 : 623,234 = 623,234 : x
  2. Step 2: Convert to fraction form
    414,464/623,234 = 623,234/x
  3. Step 3: Cross multiply
    414,464x = 623,234 × 623,234
  4. Step 4: Simplify right side
    414,464x = 388,420,618,756
  5. Step 5: Solve for x
    x = 388,420,618,756/414,464
  6. Step 6: Final answer
    x = 937,163.71

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.