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Finding the Third Proportional to 225,006.75 and 475,302

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Solution

The third proportional to 225,006.75 and 475,302 is: 1,004,023.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,006.75 : 475,302 = 475,302 : x
  2. Step 2: Convert to fraction form
    225,006.75/475,302 = 475,302/x
  3. Step 3: Cross multiply
    225,006.75x = 475,302 × 475,302
  4. Step 4: Simplify right side
    225,006.75x = 225,911,991,204
  5. Step 5: Solve for x
    x = 225,911,991,204/225,006.75
  6. Step 6: Final answer
    x = 1,004,023.17

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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.