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Finding the Third Proportional to 366,741 and 561,009

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Solution

The third proportional to 366,741 and 561,009 is: 858,183.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,741 : 561,009 = 561,009 : x
  2. Step 2: Convert to fraction form
    366,741/561,009 = 561,009/x
  3. Step 3: Cross multiply
    366,741x = 561,009 × 561,009
  4. Step 4: Simplify right side
    366,741x = 314,731,098,081
  5. Step 5: Solve for x
    x = 314,731,098,081/366,741
  6. Step 6: Final answer
    x = 858,183.56

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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.