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Finding the Third Proportional to 350,266 and 770,516

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Solution

The third proportional to 350,266 and 770,516 is: 1,694,982.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    350,266 : 770,516 = 770,516 : x
  2. Step 2: Convert to fraction form
    350,266/770,516 = 770,516/x
  3. Step 3: Cross multiply
    350,266x = 770,516 × 770,516
  4. Step 4: Simplify right side
    350,266x = 593,694,906,256
  5. Step 5: Solve for x
    x = 593,694,906,256/350,266
  6. Step 6: Final answer
    x = 1,694,982.97

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Why These Related Problems?

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