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Finding the Third Proportional to 367,073 and 494,017

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Solution

The third proportional to 367,073 and 494,017 is: 664,861.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,073 : 494,017 = 494,017 : x
  2. Step 2: Convert to fraction form
    367,073/494,017 = 494,017/x
  3. Step 3: Cross multiply
    367,073x = 494,017 × 494,017
  4. Step 4: Simplify right side
    367,073x = 244,052,796,289
  5. Step 5: Solve for x
    x = 244,052,796,289/367,073
  6. Step 6: Final answer
    x = 664,861.75

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.