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Finding the Third Proportional to 268,672 and 399,252

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Solution

The third proportional to 268,672 and 399,252 is: 593,296.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,672 : 399,252 = 399,252 : x
  2. Step 2: Convert to fraction form
    268,672/399,252 = 399,252/x
  3. Step 3: Cross multiply
    268,672x = 399,252 × 399,252
  4. Step 4: Simplify right side
    268,672x = 159,402,159,504
  5. Step 5: Solve for x
    x = 159,402,159,504/268,672
  6. Step 6: Final answer
    x = 593,296.51

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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.