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Finding the Third Proportional to 366,966 and 559,936

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Solution

The third proportional to 366,966 and 559,936 is: 854,379.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,966 : 559,936 = 559,936 : x
  2. Step 2: Convert to fraction form
    366,966/559,936 = 559,936/x
  3. Step 3: Cross multiply
    366,966x = 559,936 × 559,936
  4. Step 4: Simplify right side
    366,966x = 313,528,324,096
  5. Step 5: Solve for x
    x = 313,528,324,096/366,966
  6. Step 6: Final answer
    x = 854,379.76

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.