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Finding the Third Proportional to 367,922 and 751,396

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Solution

The third proportional to 367,922 and 751,396 is: 1,534,553.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,922 : 751,396 = 751,396 : x
  2. Step 2: Convert to fraction form
    367,922/751,396 = 751,396/x
  3. Step 3: Cross multiply
    367,922x = 751,396 × 751,396
  4. Step 4: Simplify right side
    367,922x = 564,595,948,816
  5. Step 5: Solve for x
    x = 564,595,948,816/367,922
  6. Step 6: Final answer
    x = 1,534,553.38

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.