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Finding the Third Proportional to 512,235 and 751,743

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Solution

The third proportional to 512,235 and 751,743 is: 1,103,238.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,235 : 751,743 = 751,743 : x
  2. Step 2: Convert to fraction form
    512,235/751,743 = 751,743/x
  3. Step 3: Cross multiply
    512,235x = 751,743 × 751,743
  4. Step 4: Simplify right side
    512,235x = 565,117,538,049
  5. Step 5: Solve for x
    x = 565,117,538,049/512,235
  6. Step 6: Final answer
    x = 1,103,238.82

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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.