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Finding the Third Proportional to 445,264 and 689,568

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Solution

The third proportional to 445,264 and 689,568 is: 1,067,914.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    445,264 : 689,568 = 689,568 : x
  2. Step 2: Convert to fraction form
    445,264/689,568 = 689,568/x
  3. Step 3: Cross multiply
    445,264x = 689,568 × 689,568
  4. Step 4: Simplify right side
    445,264x = 475,504,026,624
  5. Step 5: Solve for x
    x = 475,504,026,624/445,264
  6. Step 6: Final answer
    x = 1,067,914.82

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.