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Finding the Third Proportional to 246,504 and 504,690

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Solution

The third proportional to 246,504 and 504,690 is: 1,033,297.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    246,504 : 504,690 = 504,690 : x
  2. Step 2: Convert to fraction form
    246,504/504,690 = 504,690/x
  3. Step 3: Cross multiply
    246,504x = 504,690 × 504,690
  4. Step 4: Simplify right side
    246,504x = 254,711,996,100
  5. Step 5: Solve for x
    x = 254,711,996,100/246,504
  6. Step 6: Final answer
    x = 1,033,297.62

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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.