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Finding the Third Proportional to 300,396 and 467,828

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Solution

The third proportional to 300,396 and 467,828 is: 728,581.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,396 : 467,828 = 467,828 : x
  2. Step 2: Convert to fraction form
    300,396/467,828 = 467,828/x
  3. Step 3: Cross multiply
    300,396x = 467,828 × 467,828
  4. Step 4: Simplify right side
    300,396x = 218,863,037,584
  5. Step 5: Solve for x
    x = 218,863,037,584/300,396
  6. Step 6: Final answer
    x = 728,581.73

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Why These Related Problems?

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