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Finding the Third Proportional to 389,661 and 809,938.50

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Solution

The third proportional to 389,661 and 809,938.50 is: 1,683,515.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,661 : 809,938.50 = 809,938.50 : x
  2. Step 2: Convert to fraction form
    389,661/809,938.50 = 809,938.50/x
  3. Step 3: Cross multiply
    389,661x = 809,938.50 × 809,938.50
  4. Step 4: Simplify right side
    389,661x = 656,000,373,782.25
  5. Step 5: Solve for x
    x = 656,000,373,782.25/389,661
  6. Step 6: Final answer
    x = 1,683,515.60

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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.