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Finding the Third Proportional to 363,334.60 and 782,194.22

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Solution

The third proportional to 363,334.60 and 782,194.22 is: 1,683,923.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,334.60 : 782,194.22 = 782,194.22 : x
  2. Step 2: Convert to fraction form
    363,334.60/782,194.22 = 782,194.22/x
  3. Step 3: Cross multiply
    363,334.60x = 782,194.22 × 782,194.22
  4. Step 4: Simplify right side
    363,334.60x = 611,827,795,845.92
  5. Step 5: Solve for x
    x = 611,827,795,845.92/363,334.60
  6. Step 6: Final answer
    x = 1,683,923.86

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.