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Finding the Third Proportional to 343,997.44 and 505,884.75

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Solution

The third proportional to 343,997.44 and 505,884.75 is: 743,957.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,997.44 : 505,884.75 = 505,884.75 : x
  2. Step 2: Convert to fraction form
    343,997.44/505,884.75 = 505,884.75/x
  3. Step 3: Cross multiply
    343,997.44x = 505,884.75 × 505,884.75
  4. Step 4: Simplify right side
    343,997.44x = 255,919,380,282.56
  5. Step 5: Solve for x
    x = 255,919,380,282.56/343,997.44
  6. Step 6: Final answer
    x = 743,957.23

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.