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Finding the Third Proportional to 512,231.25 and 751,739.25

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Solution

The third proportional to 512,231.25 and 751,739.25 is: 1,103,235.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,231.25 : 751,739.25 = 751,739.25 : x
  2. Step 2: Convert to fraction form
    512,231.25/751,739.25 = 751,739.25/x
  3. Step 3: Cross multiply
    512,231.25x = 751,739.25 × 751,739.25
  4. Step 4: Simplify right side
    512,231.25x = 565,111,899,990.56
  5. Step 5: Solve for x
    x = 565,111,899,990.56/512,231.25
  6. Step 6: Final answer
    x = 1,103,235.89

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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.