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Finding the Third Proportional to 350,813 and 770,671

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Solution

The third proportional to 350,813 and 770,671 is: 1,693,021.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    350,813 : 770,671 = 770,671 : x
  2. Step 2: Convert to fraction form
    350,813/770,671 = 770,671/x
  3. Step 3: Cross multiply
    350,813x = 770,671 × 770,671
  4. Step 4: Simplify right side
    350,813x = 593,933,790,241
  5. Step 5: Solve for x
    x = 593,933,790,241/350,813
  6. Step 6: Final answer
    x = 1,693,021.04

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.