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Finding the Third Proportional to 366,745 and 561,012

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Solution

The third proportional to 366,745 and 561,012 is: 858,183.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,745 : 561,012 = 561,012 : x
  2. Step 2: Convert to fraction form
    366,745/561,012 = 561,012/x
  3. Step 3: Cross multiply
    366,745x = 561,012 × 561,012
  4. Step 4: Simplify right side
    366,745x = 314,734,464,144
  5. Step 5: Solve for x
    x = 314,734,464,144/366,745
  6. Step 6: Final answer
    x = 858,183.38

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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.