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Finding the Third Proportional to 244,626 and 389,175

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Solution

The third proportional to 244,626 and 389,175 is: 619,137.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    244,626 : 389,175 = 389,175 : x
  2. Step 2: Convert to fraction form
    244,626/389,175 = 389,175/x
  3. Step 3: Cross multiply
    244,626x = 389,175 × 389,175
  4. Step 4: Simplify right side
    244,626x = 151,457,180,625
  5. Step 5: Solve for x
    x = 151,457,180,625/244,626
  6. Step 6: Final answer
    x = 619,137.71

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.