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Finding the Third Proportional to 201,247 and 419,029

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Solution

The third proportional to 201,247 and 419,029 is: 872,486.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,247 : 419,029 = 419,029 : x
  2. Step 2: Convert to fraction form
    201,247/419,029 = 419,029/x
  3. Step 3: Cross multiply
    201,247x = 419,029 × 419,029
  4. Step 4: Simplify right side
    201,247x = 175,585,302,841
  5. Step 5: Solve for x
    x = 175,585,302,841/201,247
  6. Step 6: Final answer
    x = 872,486.56

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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.