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Finding the Third Proportional to 281,319.75 and 599,541.75

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Solution

The third proportional to 281,319.75 and 599,541.75 is: 1,277,728.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,319.75 : 599,541.75 = 599,541.75 : x
  2. Step 2: Convert to fraction form
    281,319.75/599,541.75 = 599,541.75/x
  3. Step 3: Cross multiply
    281,319.75x = 599,541.75 × 599,541.75
  4. Step 4: Simplify right side
    281,319.75x = 359,450,309,993.06
  5. Step 5: Solve for x
    x = 359,450,309,993.06/281,319.75
  6. Step 6: Final answer
    x = 1,277,728.67

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.