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Finding the Third Proportional to 354,886 and 536,027

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Solution

The third proportional to 354,886 and 536,027 is: 809,626.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,886 : 536,027 = 536,027 : x
  2. Step 2: Convert to fraction form
    354,886/536,027 = 536,027/x
  3. Step 3: Cross multiply
    354,886x = 536,027 × 536,027
  4. Step 4: Simplify right side
    354,886x = 287,324,944,729
  5. Step 5: Solve for x
    x = 287,324,944,729/354,886
  6. Step 6: Final answer
    x = 809,626.03

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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.