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Finding the Third Proportional to 512,337 and 751,885

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Solution

The third proportional to 512,337 and 751,885 is: 1,103,435.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,337 : 751,885 = 751,885 : x
  2. Step 2: Convert to fraction form
    512,337/751,885 = 751,885/x
  3. Step 3: Cross multiply
    512,337x = 751,885 × 751,885
  4. Step 4: Simplify right side
    512,337x = 565,331,053,225
  5. Step 5: Solve for x
    x = 565,331,053,225/512,337
  6. Step 6: Final answer
    x = 1,103,435.93

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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.