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Finding the Third Proportional to 234,474.75 and 477,235.97

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Solution

The third proportional to 234,474.75 and 477,235.97 is: 971,337.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,474.75 : 477,235.97 = 477,235.97 : x
  2. Step 2: Convert to fraction form
    234,474.75/477,235.97 = 477,235.97/x
  3. Step 3: Cross multiply
    234,474.75x = 477,235.97 × 477,235.97
  4. Step 4: Simplify right side
    234,474.75x = 227,754,169,868.75
  5. Step 5: Solve for x
    x = 227,754,169,868.75/234,474.75
  6. Step 6: Final answer
    x = 971,337.72

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These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.