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Finding the Third Proportional to 280,163.81 and 420,450.75

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Solution

The third proportional to 280,163.81 and 420,450.75 is: 630,983.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,163.81 : 420,450.75 = 420,450.75 : x
  2. Step 2: Convert to fraction form
    280,163.81/420,450.75 = 420,450.75/x
  3. Step 3: Cross multiply
    280,163.81x = 420,450.75 × 420,450.75
  4. Step 4: Simplify right side
    280,163.81x = 176,778,833,175.56
  5. Step 5: Solve for x
    x = 176,778,833,175.56/280,163.81
  6. Step 6: Final answer
    x = 630,983.82

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.