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Finding the Third Proportional to 227,997 and 494,934.50

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Solution

The third proportional to 227,997 and 494,934.50 is: 1,074,400.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,997 : 494,934.50 = 494,934.50 : x
  2. Step 2: Convert to fraction form
    227,997/494,934.50 = 494,934.50/x
  3. Step 3: Cross multiply
    227,997x = 494,934.50 × 494,934.50
  4. Step 4: Simplify right side
    227,997x = 244,960,159,290.25
  5. Step 5: Solve for x
    x = 244,960,159,290.25/227,997
  6. Step 6: Final answer
    x = 1,074,400.80

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