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Finding the Third Proportional to 263,322 and 397,306

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Solution

The third proportional to 263,322 and 397,306 is: 599,463.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,322 : 397,306 = 397,306 : x
  2. Step 2: Convert to fraction form
    263,322/397,306 = 397,306/x
  3. Step 3: Cross multiply
    263,322x = 397,306 × 397,306
  4. Step 4: Simplify right side
    263,322x = 157,852,057,636
  5. Step 5: Solve for x
    x = 157,852,057,636/263,322
  6. Step 6: Final answer
    x = 599,463.99

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.