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Finding the Third Proportional to 303,928 and 703,538

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Solution

The third proportional to 303,928 and 703,538 is: 1,628,562.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,928 : 703,538 = 703,538 : x
  2. Step 2: Convert to fraction form
    303,928/703,538 = 703,538/x
  3. Step 3: Cross multiply
    303,928x = 703,538 × 703,538
  4. Step 4: Simplify right side
    303,928x = 494,965,717,444
  5. Step 5: Solve for x
    x = 494,965,717,444/303,928
  6. Step 6: Final answer
    x = 1,628,562.41

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.