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Finding the Third Proportional to 366,759 and 561,036

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Solution

The third proportional to 366,759 and 561,036 is: 858,224.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,759 : 561,036 = 561,036 : x
  2. Step 2: Convert to fraction form
    366,759/561,036 = 561,036/x
  3. Step 3: Cross multiply
    366,759x = 561,036 × 561,036
  4. Step 4: Simplify right side
    366,759x = 314,761,393,296
  5. Step 5: Solve for x
    x = 314,761,393,296/366,759
  6. Step 6: Final answer
    x = 858,224.05

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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.