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Finding the Third Proportional to 351,834 and 768,186

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Solution

The third proportional to 351,834 and 768,186 is: 1,677,239.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    351,834 : 768,186 = 768,186 : x
  2. Step 2: Convert to fraction form
    351,834/768,186 = 768,186/x
  3. Step 3: Cross multiply
    351,834x = 768,186 × 768,186
  4. Step 4: Simplify right side
    351,834x = 590,109,730,596
  5. Step 5: Solve for x
    x = 590,109,730,596/351,834
  6. Step 6: Final answer
    x = 1,677,239.07

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.