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Finding the Third Proportional to 227,637.84 and 491,748.47

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Solution

The third proportional to 227,637.84 and 491,748.47 is: 1,062,286.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,637.84 : 491,748.47 = 491,748.47 : x
  2. Step 2: Convert to fraction form
    227,637.84/491,748.47 = 491,748.47/x
  3. Step 3: Cross multiply
    227,637.84x = 491,748.47 × 491,748.47
  4. Step 4: Simplify right side
    227,637.84x = 241,816,556,517.97
  5. Step 5: Solve for x
    x = 241,816,556,517.97/227,637.84
  6. Step 6: Final answer
    x = 1,062,286.27

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.