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Finding the Third Proportional to 333,997.88 and 727,936.88

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Solution

The third proportional to 333,997.88 and 727,936.88 is: 1,586,513.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,997.88 : 727,936.88 = 727,936.88 : x
  2. Step 2: Convert to fraction form
    333,997.88/727,936.88 = 727,936.88/x
  3. Step 3: Cross multiply
    333,997.88x = 727,936.88 × 727,936.88
  4. Step 4: Simplify right side
    333,997.88x = 529,892,093,984.77
  5. Step 5: Solve for x
    x = 529,892,093,984.77/333,997.88
  6. Step 6: Final answer
    x = 1,586,513.37

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.