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Finding the Third Proportional to 367,110 and 753,982

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Solution

The third proportional to 367,110 and 753,982 is: 1,548,551.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,110 : 753,982 = 753,982 : x
  2. Step 2: Convert to fraction form
    367,110/753,982 = 753,982/x
  3. Step 3: Cross multiply
    367,110x = 753,982 × 753,982
  4. Step 4: Simplify right side
    367,110x = 568,488,856,324
  5. Step 5: Solve for x
    x = 568,488,856,324/367,110
  6. Step 6: Final answer
    x = 1,548,551.81

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.