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Finding the Third Proportional to 227,998 and 494,937

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Solution

The third proportional to 227,998 and 494,937 is: 1,074,406.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,998 : 494,937 = 494,937 : x
  2. Step 2: Convert to fraction form
    227,998/494,937 = 494,937/x
  3. Step 3: Cross multiply
    227,998x = 494,937 × 494,937
  4. Step 4: Simplify right side
    227,998x = 244,962,633,969
  5. Step 5: Solve for x
    x = 244,962,633,969/227,998
  6. Step 6: Final answer
    x = 1,074,406.94

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.