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Finding the Third Proportional to 389,668.50 and 809,950.50

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Solution

The third proportional to 389,668.50 and 809,950.50 is: 1,683,533.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,668.50 : 809,950.50 = 809,950.50 : x
  2. Step 2: Convert to fraction form
    389,668.50/809,950.50 = 809,950.50/x
  3. Step 3: Cross multiply
    389,668.50x = 809,950.50 × 809,950.50
  4. Step 4: Simplify right side
    389,668.50x = 656,019,812,450.25
  5. Step 5: Solve for x
    x = 656,019,812,450.25/389,668.50
  6. Step 6: Final answer
    x = 1,683,533.09

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These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.