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Finding the Third Proportional to 229,002.82 and 483,839.58

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Solution

The third proportional to 229,002.82 and 483,839.58 is: 1,022,261.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,002.82 : 483,839.58 = 483,839.58 : x
  2. Step 2: Convert to fraction form
    229,002.82/483,839.58 = 483,839.58/x
  3. Step 3: Cross multiply
    229,002.82x = 483,839.58 × 483,839.58
  4. Step 4: Simplify right side
    229,002.82x = 234,100,737,360.18
  5. Step 5: Solve for x
    x = 234,100,737,360.18/229,002.82
  6. Step 6: Final answer
    x = 1,022,261.37

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.