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Finding the Third Proportional to 225,759 and 482,622

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Solution

The third proportional to 225,759 and 482,622 is: 1,031,737.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,759 : 482,622 = 482,622 : x
  2. Step 2: Convert to fraction form
    225,759/482,622 = 482,622/x
  3. Step 3: Cross multiply
    225,759x = 482,622 × 482,622
  4. Step 4: Simplify right side
    225,759x = 232,923,994,884
  5. Step 5: Solve for x
    x = 232,923,994,884/225,759
  6. Step 6: Final answer
    x = 1,031,737.36

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.