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Finding the Third Proportional to 396,538 and 565,282

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Solution

The third proportional to 396,538 and 565,282 is: 805,833.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,538 : 565,282 = 565,282 : x
  2. Step 2: Convert to fraction form
    396,538/565,282 = 565,282/x
  3. Step 3: Cross multiply
    396,538x = 565,282 × 565,282
  4. Step 4: Simplify right side
    396,538x = 319,543,739,524
  5. Step 5: Solve for x
    x = 319,543,739,524/396,538
  6. Step 6: Final answer
    x = 805,833.84

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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.