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Finding the Third Proportional to 204,997.50 and 440,613

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Solution

The third proportional to 204,997.50 and 440,613 is: 947,035.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,997.50 : 440,613 = 440,613 : x
  2. Step 2: Convert to fraction form
    204,997.50/440,613 = 440,613/x
  3. Step 3: Cross multiply
    204,997.50x = 440,613 × 440,613
  4. Step 4: Simplify right side
    204,997.50x = 194,139,815,769
  5. Step 5: Solve for x
    x = 194,139,815,769/204,997.50
  6. Step 6: Final answer
    x = 947,035.04

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.