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Finding the Third Proportional to 422,544 and 614,744

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Solution

The third proportional to 422,544 and 614,744 is: 894,368.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,544 : 614,744 = 614,744 : x
  2. Step 2: Convert to fraction form
    422,544/614,744 = 614,744/x
  3. Step 3: Cross multiply
    422,544x = 614,744 × 614,744
  4. Step 4: Simplify right side
    422,544x = 377,910,185,536
  5. Step 5: Solve for x
    x = 377,910,185,536/422,544
  6. Step 6: Final answer
    x = 894,368.84

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.