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Finding the Third Proportional to 349,384 and 494,483

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Solution

The third proportional to 349,384 and 494,483 is: 699,841.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,384 : 494,483 = 494,483 : x
  2. Step 2: Convert to fraction form
    349,384/494,483 = 494,483/x
  3. Step 3: Cross multiply
    349,384x = 494,483 × 494,483
  4. Step 4: Simplify right side
    349,384x = 244,513,437,289
  5. Step 5: Solve for x
    x = 244,513,437,289/349,384
  6. Step 6: Final answer
    x = 699,841.54

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.