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Finding the Third Proportional to 246,560 and 504,800

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Solution

The third proportional to 246,560 and 504,800 is: 1,033,513.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    246,560 : 504,800 = 504,800 : x
  2. Step 2: Convert to fraction form
    246,560/504,800 = 504,800/x
  3. Step 3: Cross multiply
    246,560x = 504,800 × 504,800
  4. Step 4: Simplify right side
    246,560x = 254,823,040,000
  5. Step 5: Solve for x
    x = 254,823,040,000/246,560
  6. Step 6: Final answer
    x = 1,033,513.30

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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.