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Finding the Third Proportional to 227,106.28 and 491,835.80

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Solution

The third proportional to 227,106.28 and 491,835.80 is: 1,065,150.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,106.28 : 491,835.80 = 491,835.80 : x
  2. Step 2: Convert to fraction form
    227,106.28/491,835.80 = 491,835.80/x
  3. Step 3: Cross multiply
    227,106.28x = 491,835.80 × 491,835.80
  4. Step 4: Simplify right side
    227,106.28x = 241,902,451,087.67
  5. Step 5: Solve for x
    x = 241,902,451,087.67/227,106.28
  6. Step 6: Final answer
    x = 1,065,150.86

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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.