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Finding the Third Proportional to 225,756 and 482,616

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Solution

The third proportional to 225,756 and 482,616 is: 1,031,725.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,756 : 482,616 = 482,616 : x
  2. Step 2: Convert to fraction form
    225,756/482,616 = 482,616/x
  3. Step 3: Cross multiply
    225,756x = 482,616 × 482,616
  4. Step 4: Simplify right side
    225,756x = 232,918,203,456
  5. Step 5: Solve for x
    x = 232,918,203,456/225,756
  6. Step 6: Final answer
    x = 1,031,725.42

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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.