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Finding the Third Proportional to 339,129 and 452,079

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Solution

The third proportional to 339,129 and 452,079 is: 602,648.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,129 : 452,079 = 452,079 : x
  2. Step 2: Convert to fraction form
    339,129/452,079 = 452,079/x
  3. Step 3: Cross multiply
    339,129x = 452,079 × 452,079
  4. Step 4: Simplify right side
    339,129x = 204,375,422,241
  5. Step 5: Solve for x
    x = 204,375,422,241/339,129
  6. Step 6: Final answer
    x = 602,648.03

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.