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Finding the Third Proportional to 351,092 and 768,856

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Solution

The third proportional to 351,092 and 768,856 is: 1,683,716.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    351,092 : 768,856 = 768,856 : x
  2. Step 2: Convert to fraction form
    351,092/768,856 = 768,856/x
  3. Step 3: Cross multiply
    351,092x = 768,856 × 768,856
  4. Step 4: Simplify right side
    351,092x = 591,139,548,736
  5. Step 5: Solve for x
    x = 591,139,548,736/351,092
  6. Step 6: Final answer
    x = 1,683,716.94

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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.