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Finding the Third Proportional to 252,909 and 529,198.31

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Solution

The third proportional to 252,909 and 529,198.31 is: 1,107,318.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,909 : 529,198.31 = 529,198.31 : x
  2. Step 2: Convert to fraction form
    252,909/529,198.31 = 529,198.31/x
  3. Step 3: Cross multiply
    252,909x = 529,198.31 × 529,198.31
  4. Step 4: Simplify right side
    252,909x = 280,050,853,952.85
  5. Step 5: Solve for x
    x = 280,050,853,952.85/252,909
  6. Step 6: Final answer
    x = 1,107,318.66

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.