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Finding the Third Proportional to 225,144 and 475,620

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Solution

The third proportional to 225,144 and 475,620 is: 1,004,754.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,144 : 475,620 = 475,620 : x
  2. Step 2: Convert to fraction form
    225,144/475,620 = 475,620/x
  3. Step 3: Cross multiply
    225,144x = 475,620 × 475,620
  4. Step 4: Simplify right side
    225,144x = 226,214,384,400
  5. Step 5: Solve for x
    x = 226,214,384,400/225,144
  6. Step 6: Final answer
    x = 1,004,754.22

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.