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Finding the Third Proportional to 201,244 and 419,024

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Solution

The third proportional to 201,244 and 419,024 is: 872,478.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,244 : 419,024 = 419,024 : x
  2. Step 2: Convert to fraction form
    201,244/419,024 = 419,024/x
  3. Step 3: Cross multiply
    201,244x = 419,024 × 419,024
  4. Step 4: Simplify right side
    201,244x = 175,581,112,576
  5. Step 5: Solve for x
    x = 175,581,112,576/201,244
  6. Step 6: Final answer
    x = 872,478.75

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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.