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Finding the Third Proportional to 201,241 and 419,017

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Solution

The third proportional to 201,241 and 419,017 is: 872,462.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,241 : 419,017 = 419,017 : x
  2. Step 2: Convert to fraction form
    201,241/419,017 = 419,017/x
  3. Step 3: Cross multiply
    201,241x = 419,017 × 419,017
  4. Step 4: Simplify right side
    201,241x = 175,575,246,289
  5. Step 5: Solve for x
    x = 175,575,246,289/201,241
  6. Step 6: Final answer
    x = 872,462.60

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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.