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Finding the Third Proportional to 201,244 and 419,023

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Solution

The third proportional to 201,244 and 419,023 is: 872,474.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,244 : 419,023 = 419,023 : x
  2. Step 2: Convert to fraction form
    201,244/419,023 = 419,023/x
  3. Step 3: Cross multiply
    201,244x = 419,023 × 419,023
  4. Step 4: Simplify right side
    201,244x = 175,580,274,529
  5. Step 5: Solve for x
    x = 175,580,274,529/201,244
  6. Step 6: Final answer
    x = 872,474.58

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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.