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Finding the Third Proportional to 420,997.50 and 641,201.06

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Solution

The third proportional to 420,997.50 and 641,201.06 is: 976,582.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,997.50 : 641,201.06 = 641,201.06 : x
  2. Step 2: Convert to fraction form
    420,997.50/641,201.06 = 641,201.06/x
  3. Step 3: Cross multiply
    420,997.50x = 641,201.06 × 641,201.06
  4. Step 4: Simplify right side
    420,997.50x = 411,138,802,551.13
  5. Step 5: Solve for x
    x = 411,138,802,551.13/420,997.50
  6. Step 6: Final answer
    x = 976,582.53

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.