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Finding the Third Proportional to 350,613 and 767,965

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Solution

The third proportional to 350,613 and 767,965 is: 1,682,111.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    350,613 : 767,965 = 767,965 : x
  2. Step 2: Convert to fraction form
    350,613/767,965 = 767,965/x
  3. Step 3: Cross multiply
    350,613x = 767,965 × 767,965
  4. Step 4: Simplify right side
    350,613x = 589,770,241,225
  5. Step 5: Solve for x
    x = 589,770,241,225/350,613
  6. Step 6: Final answer
    x = 1,682,111.73

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.