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Finding the Third Proportional to 246,741 and 512,866

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Solution

The third proportional to 246,741 and 512,866 is: 1,066,022.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    246,741 : 512,866 = 512,866 : x
  2. Step 2: Convert to fraction form
    246,741/512,866 = 512,866/x
  3. Step 3: Cross multiply
    246,741x = 512,866 × 512,866
  4. Step 4: Simplify right side
    246,741x = 263,031,533,956
  5. Step 5: Solve for x
    x = 263,031,533,956/246,741
  6. Step 6: Final answer
    x = 1,066,022.81

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.