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Finding the Third Proportional to 363,168 and 770,256

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Solution

The third proportional to 363,168 and 770,256 is: 1,633,663.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,168 : 770,256 = 770,256 : x
  2. Step 2: Convert to fraction form
    363,168/770,256 = 770,256/x
  3. Step 3: Cross multiply
    363,168x = 770,256 × 770,256
  4. Step 4: Simplify right side
    363,168x = 593,294,305,536
  5. Step 5: Solve for x
    x = 593,294,305,536/363,168
  6. Step 6: Final answer
    x = 1,633,663.50

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.