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Finding the Third Proportional to 512,230.50 and 751,738.50

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Solution

The third proportional to 512,230.50 and 751,738.50 is: 1,103,235.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,230.50 : 751,738.50 = 751,738.50 : x
  2. Step 2: Convert to fraction form
    512,230.50/751,738.50 = 751,738.50/x
  3. Step 3: Cross multiply
    512,230.50x = 751,738.50 × 751,738.50
  4. Step 4: Simplify right side
    512,230.50x = 565,110,772,382.25
  5. Step 5: Solve for x
    x = 565,110,772,382.25/512,230.50
  6. Step 6: Final answer
    x = 1,103,235.31

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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.