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Finding the Third Proportional to 246,481 and 504,638

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Solution

The third proportional to 246,481 and 504,638 is: 1,033,181.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    246,481 : 504,638 = 504,638 : x
  2. Step 2: Convert to fraction form
    246,481/504,638 = 504,638/x
  3. Step 3: Cross multiply
    246,481x = 504,638 × 504,638
  4. Step 4: Simplify right side
    246,481x = 254,659,511,044
  5. Step 5: Solve for x
    x = 254,659,511,044/246,481
  6. Step 6: Final answer
    x = 1,033,181.10

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.