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Finding the Third Proportional to 246,500 and 504,682

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Solution

The third proportional to 246,500 and 504,682 is: 1,033,281.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    246,500 : 504,682 = 504,682 : x
  2. Step 2: Convert to fraction form
    246,500/504,682 = 504,682/x
  3. Step 3: Cross multiply
    246,500x = 504,682 × 504,682
  4. Step 4: Simplify right side
    246,500x = 254,703,921,124
  5. Step 5: Solve for x
    x = 254,703,921,124/246,500
  6. Step 6: Final answer
    x = 1,033,281.63

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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.