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Finding the Third Proportional to 225,410.25 and 475,971

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Solution

The third proportional to 225,410.25 and 475,971 is: 1,005,049.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,410.25 : 475,971 = 475,971 : x
  2. Step 2: Convert to fraction form
    225,410.25/475,971 = 475,971/x
  3. Step 3: Cross multiply
    225,410.25x = 475,971 × 475,971
  4. Step 4: Simplify right side
    225,410.25x = 226,548,392,841
  5. Step 5: Solve for x
    x = 226,548,392,841/225,410.25
  6. Step 6: Final answer
    x = 1,005,049.21

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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.