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Finding the Third Proportional to 268,662 and 399,240

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Solution

The third proportional to 268,662 and 399,240 is: 593,282.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,662 : 399,240 = 399,240 : x
  2. Step 2: Convert to fraction form
    268,662/399,240 = 399,240/x
  3. Step 3: Cross multiply
    268,662x = 399,240 × 399,240
  4. Step 4: Simplify right side
    268,662x = 159,392,577,600
  5. Step 5: Solve for x
    x = 159,392,577,600/268,662
  6. Step 6: Final answer
    x = 593,282.93

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.