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Finding the Third Proportional to 367,450 and 520,081

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Solution

The third proportional to 367,450 and 520,081 is: 736,111.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,450 : 520,081 = 520,081 : x
  2. Step 2: Convert to fraction form
    367,450/520,081 = 520,081/x
  3. Step 3: Cross multiply
    367,450x = 520,081 × 520,081
  4. Step 4: Simplify right side
    367,450x = 270,484,246,561
  5. Step 5: Solve for x
    x = 270,484,246,561/367,450
  6. Step 6: Final answer
    x = 736,111.71

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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.