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Finding the Third Proportional to 365,569 and 854,144

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Solution

The third proportional to 365,569 and 854,144 is: 1,995,688.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,569 : 854,144 = 854,144 : x
  2. Step 2: Convert to fraction form
    365,569/854,144 = 854,144/x
  3. Step 3: Cross multiply
    365,569x = 854,144 × 854,144
  4. Step 4: Simplify right side
    365,569x = 729,561,972,736
  5. Step 5: Solve for x
    x = 729,561,972,736/365,569
  6. Step 6: Final answer
    x = 1,995,688.84

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.