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Finding the Third Proportional to 350,268 and 770,520

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Solution

The third proportional to 350,268 and 770,520 is: 1,694,990.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    350,268 : 770,520 = 770,520 : x
  2. Step 2: Convert to fraction form
    350,268/770,520 = 770,520/x
  3. Step 3: Cross multiply
    350,268x = 770,520 × 770,520
  4. Step 4: Simplify right side
    350,268x = 593,701,070,400
  5. Step 5: Solve for x
    x = 593,701,070,400/350,268
  6. Step 6: Final answer
    x = 1,694,990.89

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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.