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Finding the Third Proportional to 227,121.47 and 491,862.38

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Solution

The third proportional to 227,121.47 and 491,862.38 is: 1,065,194.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,121.47 : 491,862.38 = 491,862.38 : x
  2. Step 2: Convert to fraction form
    227,121.47/491,862.38 = 491,862.38/x
  3. Step 3: Cross multiply
    227,121.47x = 491,862.38 × 491,862.38
  4. Step 4: Simplify right side
    227,121.47x = 241,928,595,940.64
  5. Step 5: Solve for x
    x = 241,928,595,940.64/227,121.47
  6. Step 6: Final answer
    x = 1,065,194.75

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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.