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Finding the Third Proportional to 261,272 and 396,496

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Solution

The third proportional to 261,272 and 396,496 is: 601,706.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,272 : 396,496 = 396,496 : x
  2. Step 2: Convert to fraction form
    261,272/396,496 = 396,496/x
  3. Step 3: Cross multiply
    261,272x = 396,496 × 396,496
  4. Step 4: Simplify right side
    261,272x = 157,209,078,016
  5. Step 5: Solve for x
    x = 157,209,078,016/261,272
  6. Step 6: Final answer
    x = 601,706.57

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.