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Finding the Third Proportional to 354,737 and 550,759

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Solution

The third proportional to 354,737 and 550,759 is: 855,099.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,737 : 550,759 = 550,759 : x
  2. Step 2: Convert to fraction form
    354,737/550,759 = 550,759/x
  3. Step 3: Cross multiply
    354,737x = 550,759 × 550,759
  4. Step 4: Simplify right side
    354,737x = 303,335,476,081
  5. Step 5: Solve for x
    x = 303,335,476,081/354,737
  6. Step 6: Final answer
    x = 855,099.63

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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.