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Finding the Third Proportional to 349,849.13 and 494,940.38

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Solution

The third proportional to 349,849.13 and 494,940.38 is: 700,204.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,849.13 : 494,940.38 = 494,940.38 : x
  2. Step 2: Convert to fraction form
    349,849.13/494,940.38 = 494,940.38/x
  3. Step 3: Cross multiply
    349,849.13x = 494,940.38 × 494,940.38
  4. Step 4: Simplify right side
    349,849.13x = 244,965,974,805.14
  5. Step 5: Solve for x
    x = 244,965,974,805.14/349,849.13
  6. Step 6: Final answer
    x = 700,204.62

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.