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Finding the Third Proportional to 279,616 and 444,760

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Solution

The third proportional to 279,616 and 444,760 is: 707,439.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,616 : 444,760 = 444,760 : x
  2. Step 2: Convert to fraction form
    279,616/444,760 = 444,760/x
  3. Step 3: Cross multiply
    279,616x = 444,760 × 444,760
  4. Step 4: Simplify right side
    279,616x = 197,811,457,600
  5. Step 5: Solve for x
    x = 197,811,457,600/279,616
  6. Step 6: Final answer
    x = 707,439.69

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.