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Finding the Third Proportional to 445,876 and 673,568

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Solution

The third proportional to 445,876 and 673,568 is: 1,017,533.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    445,876 : 673,568 = 673,568 : x
  2. Step 2: Convert to fraction form
    445,876/673,568 = 673,568/x
  3. Step 3: Cross multiply
    445,876x = 673,568 × 673,568
  4. Step 4: Simplify right side
    445,876x = 453,693,850,624
  5. Step 5: Solve for x
    x = 453,693,850,624/445,876
  6. Step 6: Final answer
    x = 1,017,533.69

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Why These Related Problems?

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