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Finding the Third Proportional to 303,072.75 and 441,282.09

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Solution

The third proportional to 303,072.75 and 441,282.09 is: 642,518.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,072.75 : 441,282.09 = 441,282.09 : x
  2. Step 2: Convert to fraction form
    303,072.75/441,282.09 = 441,282.09/x
  3. Step 3: Cross multiply
    303,072.75x = 441,282.09 × 441,282.09
  4. Step 4: Simplify right side
    303,072.75x = 194,729,886,264.38
  5. Step 5: Solve for x
    x = 194,729,886,264.38/303,072.75
  6. Step 6: Final answer
    x = 642,518.62

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.