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Finding the Third Proportional to 366,963 and 559,932

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Solution

The third proportional to 366,963 and 559,932 is: 854,374.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,963 : 559,932 = 559,932 : x
  2. Step 2: Convert to fraction form
    366,963/559,932 = 559,932/x
  3. Step 3: Cross multiply
    366,963x = 559,932 × 559,932
  4. Step 4: Simplify right side
    366,963x = 313,523,844,624
  5. Step 5: Solve for x
    x = 313,523,844,624/366,963
  6. Step 6: Final answer
    x = 854,374.54

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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.