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Finding the Third Proportional to 343,298.25 and 751,992.75

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Solution

The third proportional to 343,298.25 and 751,992.75 is: 1,647,235.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,298.25 : 751,992.75 = 751,992.75 : x
  2. Step 2: Convert to fraction form
    343,298.25/751,992.75 = 751,992.75/x
  3. Step 3: Cross multiply
    343,298.25x = 751,992.75 × 751,992.75
  4. Step 4: Simplify right side
    343,298.25x = 565,493,096,052.56
  5. Step 5: Solve for x
    x = 565,493,096,052.56/343,298.25
  6. Step 6: Final answer
    x = 1,647,235.59

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.