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Finding the Third Proportional to 234,659.25 and 515,961

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Solution

The third proportional to 234,659.25 and 515,961 is: 1,134,477.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,659.25 : 515,961 = 515,961 : x
  2. Step 2: Convert to fraction form
    234,659.25/515,961 = 515,961/x
  3. Step 3: Cross multiply
    234,659.25x = 515,961 × 515,961
  4. Step 4: Simplify right side
    234,659.25x = 266,215,753,521
  5. Step 5: Solve for x
    x = 266,215,753,521/234,659.25
  6. Step 6: Final answer
    x = 1,134,477.99

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.