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Finding the Third Proportional to 367,404 and 520,019

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Solution

The third proportional to 367,404 and 520,019 is: 736,028.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,404 : 520,019 = 520,019 : x
  2. Step 2: Convert to fraction form
    367,404/520,019 = 520,019/x
  3. Step 3: Cross multiply
    367,404x = 520,019 × 520,019
  4. Step 4: Simplify right side
    367,404x = 270,419,760,361
  5. Step 5: Solve for x
    x = 270,419,760,361/367,404
  6. Step 6: Final answer
    x = 736,028.35

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.