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Finding the Third Proportional to 246,462 and 504,579

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Solution

The third proportional to 246,462 and 504,579 is: 1,033,019.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    246,462 : 504,579 = 504,579 : x
  2. Step 2: Convert to fraction form
    246,462/504,579 = 504,579/x
  3. Step 3: Cross multiply
    246,462x = 504,579 × 504,579
  4. Step 4: Simplify right side
    246,462x = 254,599,967,241
  5. Step 5: Solve for x
    x = 254,599,967,241/246,462
  6. Step 6: Final answer
    x = 1,033,019.16

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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.