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Finding the Third Proportional to 262,690 and 416,027

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Solution

The third proportional to 262,690 and 416,027 is: 658,869.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,690 : 416,027 = 416,027 : x
  2. Step 2: Convert to fraction form
    262,690/416,027 = 416,027/x
  3. Step 3: Cross multiply
    262,690x = 416,027 × 416,027
  4. Step 4: Simplify right side
    262,690x = 173,078,464,729
  5. Step 5: Solve for x
    x = 173,078,464,729/262,690
  6. Step 6: Final answer
    x = 658,869.64

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.