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Finding the Third Proportional to 300,438 and 467,892

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Solution

The third proportional to 300,438 and 467,892 is: 728,679.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,438 : 467,892 = 467,892 : x
  2. Step 2: Convert to fraction form
    300,438/467,892 = 467,892/x
  3. Step 3: Cross multiply
    300,438x = 467,892 × 467,892
  4. Step 4: Simplify right side
    300,438x = 218,922,923,664
  5. Step 5: Solve for x
    x = 218,922,923,664/300,438
  6. Step 6: Final answer
    x = 728,679.21

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.