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Finding the Third Proportional to 305,955.56 and 430,091.44

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Solution

The third proportional to 305,955.56 and 430,091.44 is: 604,593.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,955.56 : 430,091.44 = 430,091.44 : x
  2. Step 2: Convert to fraction form
    305,955.56/430,091.44 = 430,091.44/x
  3. Step 3: Cross multiply
    305,955.56x = 430,091.44 × 430,091.44
  4. Step 4: Simplify right side
    305,955.56x = 184,978,644,610.82
  5. Step 5: Solve for x
    x = 184,978,644,610.82/305,955.56
  6. Step 6: Final answer
    x = 604,593.17

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.