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Finding the Third Proportional to 269,812 and 395,970

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Solution

The third proportional to 269,812 and 395,970 is: 581,116.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,812 : 395,970 = 395,970 : x
  2. Step 2: Convert to fraction form
    269,812/395,970 = 395,970/x
  3. Step 3: Cross multiply
    269,812x = 395,970 × 395,970
  4. Step 4: Simplify right side
    269,812x = 156,792,240,900
  5. Step 5: Solve for x
    x = 156,792,240,900/269,812
  6. Step 6: Final answer
    x = 581,116.63

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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.