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Finding the Third Proportional to 512,237.25 and 751,748.25

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Solution

The third proportional to 512,237.25 and 751,748.25 is: 1,103,249.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,237.25 : 751,748.25 = 751,748.25 : x
  2. Step 2: Convert to fraction form
    512,237.25/751,748.25 = 751,748.25/x
  3. Step 3: Cross multiply
    512,237.25x = 751,748.25 × 751,748.25
  4. Step 4: Simplify right side
    512,237.25x = 565,125,431,378.06
  5. Step 5: Solve for x
    x = 565,125,431,378.06/512,237.25
  6. Step 6: Final answer
    x = 1,103,249.39

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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.