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Finding the Third Proportional to 396,609 and 565,374

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Solution

The third proportional to 396,609 and 565,374 is: 805,951.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,609 : 565,374 = 565,374 : x
  2. Step 2: Convert to fraction form
    396,609/565,374 = 565,374/x
  3. Step 3: Cross multiply
    396,609x = 565,374 × 565,374
  4. Step 4: Simplify right side
    396,609x = 319,647,759,876
  5. Step 5: Solve for x
    x = 319,647,759,876/396,609
  6. Step 6: Final answer
    x = 805,951.86

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.