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Finding the Third Proportional to 367,400 and 520,014

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Solution

The third proportional to 367,400 and 520,014 is: 736,022.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,400 : 520,014 = 520,014 : x
  2. Step 2: Convert to fraction form
    367,400/520,014 = 520,014/x
  3. Step 3: Cross multiply
    367,400x = 520,014 × 520,014
  4. Step 4: Simplify right side
    367,400x = 270,414,560,196
  5. Step 5: Solve for x
    x = 270,414,560,196/367,400
  6. Step 6: Final answer
    x = 736,022.21

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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.