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Finding the Third Proportional to 225,529 and 490,760

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Solution

The third proportional to 225,529 and 490,760 is: 1,067,913.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,529 : 490,760 = 490,760 : x
  2. Step 2: Convert to fraction form
    225,529/490,760 = 490,760/x
  3. Step 3: Cross multiply
    225,529x = 490,760 × 490,760
  4. Step 4: Simplify right side
    225,529x = 240,845,377,600
  5. Step 5: Solve for x
    x = 240,845,377,600/225,529
  6. Step 6: Final answer
    x = 1,067,913.12

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.