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Finding the Third Proportional to 361,093 and 782,450

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Solution

The third proportional to 361,093 and 782,450 is: 1,695,485.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,093 : 782,450 = 782,450 : x
  2. Step 2: Convert to fraction form
    361,093/782,450 = 782,450/x
  3. Step 3: Cross multiply
    361,093x = 782,450 × 782,450
  4. Step 4: Simplify right side
    361,093x = 612,228,002,500
  5. Step 5: Solve for x
    x = 612,228,002,500/361,093
  6. Step 6: Final answer
    x = 1,695,485.66

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.