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Finding the Third Proportional to 244,478 and 389,012

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Solution

The third proportional to 244,478 and 389,012 is: 618,993.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    244,478 : 389,012 = 389,012 : x
  2. Step 2: Convert to fraction form
    244,478/389,012 = 389,012/x
  3. Step 3: Cross multiply
    244,478x = 389,012 × 389,012
  4. Step 4: Simplify right side
    244,478x = 151,330,336,144
  5. Step 5: Solve for x
    x = 151,330,336,144/244,478
  6. Step 6: Final answer
    x = 618,993.68

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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.