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Finding the Third Proportional to 225,407.25 and 475,965

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Solution

The third proportional to 225,407.25 and 475,965 is: 1,005,037.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,407.25 : 475,965 = 475,965 : x
  2. Step 2: Convert to fraction form
    225,407.25/475,965 = 475,965/x
  3. Step 3: Cross multiply
    225,407.25x = 475,965 × 475,965
  4. Step 4: Simplify right side
    225,407.25x = 226,542,681,225
  5. Step 5: Solve for x
    x = 226,542,681,225/225,407.25
  6. Step 6: Final answer
    x = 1,005,037.24

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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.