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Finding the Third Proportional to 246,470 and 504,619

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Solution

The third proportional to 246,470 and 504,619 is: 1,033,149.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    246,470 : 504,619 = 504,619 : x
  2. Step 2: Convert to fraction form
    246,470/504,619 = 504,619/x
  3. Step 3: Cross multiply
    246,470x = 504,619 × 504,619
  4. Step 4: Simplify right side
    246,470x = 254,640,335,161
  5. Step 5: Solve for x
    x = 254,640,335,161/246,470
  6. Step 6: Final answer
    x = 1,033,149.41

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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.