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Finding the Third Proportional to 225,884 and 491,121

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Solution

The third proportional to 225,884 and 491,121 is: 1,067,803.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,884 : 491,121 = 491,121 : x
  2. Step 2: Convert to fraction form
    225,884/491,121 = 491,121/x
  3. Step 3: Cross multiply
    225,884x = 491,121 × 491,121
  4. Step 4: Simplify right side
    225,884x = 241,199,836,641
  5. Step 5: Solve for x
    x = 241,199,836,641/225,884
  6. Step 6: Final answer
    x = 1,067,803.99

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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.