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Finding the Third Proportional to 512,230.50 and 751,738.22

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Solution

The third proportional to 512,230.50 and 751,738.22 is: 1,103,234.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,230.50 : 751,738.22 = 751,738.22 : x
  2. Step 2: Convert to fraction form
    512,230.50/751,738.22 = 751,738.22/x
  3. Step 3: Cross multiply
    512,230.50x = 751,738.22 × 751,738.22
  4. Step 4: Simplify right side
    512,230.50x = 565,110,349,529.42
  5. Step 5: Solve for x
    x = 565,110,349,529.42/512,230.50
  6. Step 6: Final answer
    x = 1,103,234.48

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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.