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Finding the Third Proportional to 350,428.78 and 548,997.75

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Solution

The third proportional to 350,428.78 and 548,997.75 is: 860,084.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    350,428.78 : 548,997.75 = 548,997.75 : x
  2. Step 2: Convert to fraction form
    350,428.78/548,997.75 = 548,997.75/x
  3. Step 3: Cross multiply
    350,428.78x = 548,997.75 × 548,997.75
  4. Step 4: Simplify right side
    350,428.78x = 301,398,529,505.06
  5. Step 5: Solve for x
    x = 301,398,529,505.06/350,428.78
  6. Step 6: Final answer
    x = 860,084.97

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.