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Finding the Third Proportional to 246,462 and 504,603

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Solution

The third proportional to 246,462 and 504,603 is: 1,033,117.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    246,462 : 504,603 = 504,603 : x
  2. Step 2: Convert to fraction form
    246,462/504,603 = 504,603/x
  3. Step 3: Cross multiply
    246,462x = 504,603 × 504,603
  4. Step 4: Simplify right side
    246,462x = 254,624,187,609
  5. Step 5: Solve for x
    x = 254,624,187,609/246,462
  6. Step 6: Final answer
    x = 1,033,117.43

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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.