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Finding the Third Proportional to 354,626.44 and 769,535.44

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Solution

The third proportional to 354,626.44 and 769,535.44 is: 1,669,883.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,626.44 : 769,535.44 = 769,535.44 : x
  2. Step 2: Convert to fraction form
    354,626.44/769,535.44 = 769,535.44/x
  3. Step 3: Cross multiply
    354,626.44x = 769,535.44 × 769,535.44
  4. Step 4: Simplify right side
    354,626.44x = 592,184,789,568.32
  5. Step 5: Solve for x
    x = 592,184,789,568.32/354,626.44
  6. Step 6: Final answer
    x = 1,669,883.37

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.