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Finding the Third Proportional to 367,087 and 753,941

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Solution

The third proportional to 367,087 and 753,941 is: 1,548,480.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,087 : 753,941 = 753,941 : x
  2. Step 2: Convert to fraction form
    367,087/753,941 = 753,941/x
  3. Step 3: Cross multiply
    367,087x = 753,941 × 753,941
  4. Step 4: Simplify right side
    367,087x = 568,427,031,481
  5. Step 5: Solve for x
    x = 568,427,031,481/367,087
  6. Step 6: Final answer
    x = 1,548,480.42

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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.