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Finding the Third Proportional to 367,438 and 520,069

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Solution

The third proportional to 367,438 and 520,069 is: 736,101.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,438 : 520,069 = 520,069 : x
  2. Step 2: Convert to fraction form
    367,438/520,069 = 520,069/x
  3. Step 3: Cross multiply
    367,438x = 520,069 × 520,069
  4. Step 4: Simplify right side
    367,438x = 270,471,764,761
  5. Step 5: Solve for x
    x = 270,471,764,761/367,438
  6. Step 6: Final answer
    x = 736,101.78

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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.