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Finding the Third Proportional to 246,471 and 504,621

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Solution

The third proportional to 246,471 and 504,621 is: 1,033,153.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    246,471 : 504,621 = 504,621 : x
  2. Step 2: Convert to fraction form
    246,471/504,621 = 504,621/x
  3. Step 3: Cross multiply
    246,471x = 504,621 × 504,621
  4. Step 4: Simplify right side
    246,471x = 254,642,353,641
  5. Step 5: Solve for x
    x = 254,642,353,641/246,471
  6. Step 6: Final answer
    x = 1,033,153.41

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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.