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Finding the Third Proportional to 201,246 and 419,027

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Solution

The third proportional to 201,246 and 419,027 is: 872,482.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,246 : 419,027 = 419,027 : x
  2. Step 2: Convert to fraction form
    201,246/419,027 = 419,027/x
  3. Step 3: Cross multiply
    201,246x = 419,027 × 419,027
  4. Step 4: Simplify right side
    201,246x = 175,583,626,729
  5. Step 5: Solve for x
    x = 175,583,626,729/201,246
  6. Step 6: Final answer
    x = 872,482.57

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.