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Finding the Third Proportional to 226,350 and 491,640

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Solution

The third proportional to 226,350 and 491,640 is: 1,067,859.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,350 : 491,640 = 491,640 : x
  2. Step 2: Convert to fraction form
    226,350/491,640 = 491,640/x
  3. Step 3: Cross multiply
    226,350x = 491,640 × 491,640
  4. Step 4: Simplify right side
    226,350x = 241,709,889,600
  5. Step 5: Solve for x
    x = 241,709,889,600/226,350
  6. Step 6: Final answer
    x = 1,067,859.02

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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.