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Finding the Third Proportional to 257,893.88 and 548,997.75

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Solution

The third proportional to 257,893.88 and 548,997.75 is: 1,168,692.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,893.88 : 548,997.75 = 548,997.75 : x
  2. Step 2: Convert to fraction form
    257,893.88/548,997.75 = 548,997.75/x
  3. Step 3: Cross multiply
    257,893.88x = 548,997.75 × 548,997.75
  4. Step 4: Simplify right side
    257,893.88x = 301,398,529,505.06
  5. Step 5: Solve for x
    x = 301,398,529,505.06/257,893.88
  6. Step 6: Final answer
    x = 1,168,692.08

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.