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Finding the Third Proportional to 512,229.75 and 751,737

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Solution

The third proportional to 512,229.75 and 751,737 is: 1,103,232.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,229.75 : 751,737 = 751,737 : x
  2. Step 2: Convert to fraction form
    512,229.75/751,737 = 751,737/x
  3. Step 3: Cross multiply
    512,229.75x = 751,737 × 751,737
  4. Step 4: Simplify right side
    512,229.75x = 565,108,517,169
  5. Step 5: Solve for x
    x = 565,108,517,169/512,229.75
  6. Step 6: Final answer
    x = 1,103,232.52

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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.