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Finding the Third Proportional to 351,081 and 768,834

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Solution

The third proportional to 351,081 and 768,834 is: 1,683,673.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    351,081 : 768,834 = 768,834 : x
  2. Step 2: Convert to fraction form
    351,081/768,834 = 768,834/x
  3. Step 3: Cross multiply
    351,081x = 768,834 × 768,834
  4. Step 4: Simplify right side
    351,081x = 591,105,719,556
  5. Step 5: Solve for x
    x = 591,105,719,556/351,081
  6. Step 6: Final answer
    x = 1,683,673.34

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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.