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Finding the Third Proportional to 246,863 and 531,189

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Solution

The third proportional to 246,863 and 531,189 is: 1,142,989.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    246,863 : 531,189 = 531,189 : x
  2. Step 2: Convert to fraction form
    246,863/531,189 = 531,189/x
  3. Step 3: Cross multiply
    246,863x = 531,189 × 531,189
  4. Step 4: Simplify right side
    246,863x = 282,161,753,721
  5. Step 5: Solve for x
    x = 282,161,753,721/246,863
  6. Step 6: Final answer
    x = 1,142,989.24

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.