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Finding the Third Proportional to 246,476 and 504,608

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Solution

The third proportional to 246,476 and 504,608 is: 1,033,079.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    246,476 : 504,608 = 504,608 : x
  2. Step 2: Convert to fraction form
    246,476/504,608 = 504,608/x
  3. Step 3: Cross multiply
    246,476x = 504,608 × 504,608
  4. Step 4: Simplify right side
    246,476x = 254,629,233,664
  5. Step 5: Solve for x
    x = 254,629,233,664/246,476
  6. Step 6: Final answer
    x = 1,033,079.22

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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.