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Finding the Third Proportional to 299,422 and 476,181

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Solution

The third proportional to 299,422 and 476,181 is: 757,286.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,422 : 476,181 = 476,181 : x
  2. Step 2: Convert to fraction form
    299,422/476,181 = 476,181/x
  3. Step 3: Cross multiply
    299,422x = 476,181 × 476,181
  4. Step 4: Simplify right side
    299,422x = 226,748,344,761
  5. Step 5: Solve for x
    x = 226,748,344,761/299,422
  6. Step 6: Final answer
    x = 757,286.86

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.