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Finding the Third Proportional to 350,324 and 770,632

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Solution

The third proportional to 350,324 and 770,632 is: 1,695,212.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    350,324 : 770,632 = 770,632 : x
  2. Step 2: Convert to fraction form
    350,324/770,632 = 770,632/x
  3. Step 3: Cross multiply
    350,324x = 770,632 × 770,632
  4. Step 4: Simplify right side
    350,324x = 593,873,679,424
  5. Step 5: Solve for x
    x = 593,873,679,424/350,324
  6. Step 6: Final answer
    x = 1,695,212.66

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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.