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Finding the Third Proportional to 344,736 and 505,744

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Solution

The third proportional to 344,736 and 505,744 is: 741,950.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,736 : 505,744 = 505,744 : x
  2. Step 2: Convert to fraction form
    344,736/505,744 = 505,744/x
  3. Step 3: Cross multiply
    344,736x = 505,744 × 505,744
  4. Step 4: Simplify right side
    344,736x = 255,776,993,536
  5. Step 5: Solve for x
    x = 255,776,993,536/344,736
  6. Step 6: Final answer
    x = 741,950.34

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.