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Finding the Third Proportional to 366,969 and 516,774

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Solution

The third proportional to 366,969 and 516,774 is: 727,732.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,969 : 516,774 = 516,774 : x
  2. Step 2: Convert to fraction form
    366,969/516,774 = 516,774/x
  3. Step 3: Cross multiply
    366,969x = 516,774 × 516,774
  4. Step 4: Simplify right side
    366,969x = 267,055,367,076
  5. Step 5: Solve for x
    x = 267,055,367,076/366,969
  6. Step 6: Final answer
    x = 727,732.77

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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.