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Finding the Third Proportional to 367,082 and 494,031

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Solution

The third proportional to 367,082 and 494,031 is: 664,883.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,082 : 494,031 = 494,031 : x
  2. Step 2: Convert to fraction form
    367,082/494,031 = 494,031/x
  3. Step 3: Cross multiply
    367,082x = 494,031 × 494,031
  4. Step 4: Simplify right side
    367,082x = 244,066,628,961
  5. Step 5: Solve for x
    x = 244,066,628,961/367,082
  6. Step 6: Final answer
    x = 664,883.13

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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.