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Finding the Third Proportional to 367,077 and 516,937

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Solution

The third proportional to 367,077 and 516,937 is: 727,977.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,077 : 516,937 = 516,937 : x
  2. Step 2: Convert to fraction form
    367,077/516,937 = 516,937/x
  3. Step 3: Cross multiply
    367,077x = 516,937 × 516,937
  4. Step 4: Simplify right side
    367,077x = 267,223,861,969
  5. Step 5: Solve for x
    x = 267,223,861,969/367,077
  6. Step 6: Final answer
    x = 727,977.68

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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.