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Finding the Third Proportional to 481,112 and 733,016

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Solution

The third proportional to 481,112 and 733,016 is: 1,116,813.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    481,112 : 733,016 = 733,016 : x
  2. Step 2: Convert to fraction form
    481,112/733,016 = 733,016/x
  3. Step 3: Cross multiply
    481,112x = 733,016 × 733,016
  4. Step 4: Simplify right side
    481,112x = 537,312,456,256
  5. Step 5: Solve for x
    x = 537,312,456,256/481,112
  6. Step 6: Final answer
    x = 1,116,813.67

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.