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Finding the Third Proportional to 367,059 and 516,898

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Solution

The third proportional to 367,059 and 516,898 is: 727,903.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,059 : 516,898 = 516,898 : x
  2. Step 2: Convert to fraction form
    367,059/516,898 = 516,898/x
  3. Step 3: Cross multiply
    367,059x = 516,898 × 516,898
  4. Step 4: Simplify right side
    367,059x = 267,183,542,404
  5. Step 5: Solve for x
    x = 267,183,542,404/367,059
  6. Step 6: Final answer
    x = 727,903.53

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.