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Finding the Third Proportional to 225,904 and 491,152

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Solution

The third proportional to 225,904 and 491,152 is: 1,067,844.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,904 : 491,152 = 491,152 : x
  2. Step 2: Convert to fraction form
    225,904/491,152 = 491,152/x
  3. Step 3: Cross multiply
    225,904x = 491,152 × 491,152
  4. Step 4: Simplify right side
    225,904x = 241,230,287,104
  5. Step 5: Solve for x
    x = 241,230,287,104/225,904
  6. Step 6: Final answer
    x = 1,067,844.25

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.