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Finding the Third Proportional to 246,478 and 504,612

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Solution

The third proportional to 246,478 and 504,612 is: 1,033,087.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    246,478 : 504,612 = 504,612 : x
  2. Step 2: Convert to fraction form
    246,478/504,612 = 504,612/x
  3. Step 3: Cross multiply
    246,478x = 504,612 × 504,612
  4. Step 4: Simplify right side
    246,478x = 254,633,270,544
  5. Step 5: Solve for x
    x = 254,633,270,544/246,478
  6. Step 6: Final answer
    x = 1,033,087.21

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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.