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Finding the Third Proportional to 246,476 and 504,626

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Solution

The third proportional to 246,476 and 504,626 is: 1,033,152.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    246,476 : 504,626 = 504,626 : x
  2. Step 2: Convert to fraction form
    246,476/504,626 = 504,626/x
  3. Step 3: Cross multiply
    246,476x = 504,626 × 504,626
  4. Step 4: Simplify right side
    246,476x = 254,647,399,876
  5. Step 5: Solve for x
    x = 254,647,399,876/246,476
  6. Step 6: Final answer
    x = 1,033,152.92

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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.