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Finding the Third Proportional to 225,860 and 491,084

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Solution

The third proportional to 225,860 and 491,084 is: 1,067,756.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,860 : 491,084 = 491,084 : x
  2. Step 2: Convert to fraction form
    225,860/491,084 = 491,084/x
  3. Step 3: Cross multiply
    225,860x = 491,084 × 491,084
  4. Step 4: Simplify right side
    225,860x = 241,163,495,056
  5. Step 5: Solve for x
    x = 241,163,495,056/225,860
  6. Step 6: Final answer
    x = 1,067,756.55

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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.