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Finding the Third Proportional to 268,576 and 395,440

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Solution

The third proportional to 268,576 and 395,440 is: 582,229.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,576 : 395,440 = 395,440 : x
  2. Step 2: Convert to fraction form
    268,576/395,440 = 395,440/x
  3. Step 3: Cross multiply
    268,576x = 395,440 × 395,440
  4. Step 4: Simplify right side
    268,576x = 156,372,793,600
  5. Step 5: Solve for x
    x = 156,372,793,600/268,576
  6. Step 6: Final answer
    x = 582,229.21

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.