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Finding the Third Proportional to 354,002,674 and 554,099,568

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Solution

The third proportional to 354,002,674 and 554,099,568 is: 867,299,469.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,002,674 : 554,099,568 = 554,099,568 : x
  2. Step 2: Convert to fraction form
    354,002,674/554,099,568 = 554,099,568/x
  3. Step 3: Cross multiply
    354,002,674x = 554,099,568 × 554,099,568
  4. Step 4: Simplify right side
    354,002,674x = 307,026,331,257,786,624
  5. Step 5: Solve for x
    x = 307,026,331,257,786,624/354,002,674
  6. Step 6: Final answer
    x = 867,299,469.21

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.