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Finding the Third Proportional to 366,738.75 and 561,004.88

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Solution

The third proportional to 366,738.75 and 561,004.88 is: 858,176.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,738.75 : 561,004.88 = 561,004.88 : x
  2. Step 2: Convert to fraction form
    366,738.75/561,004.88 = 561,004.88/x
  3. Step 3: Cross multiply
    366,738.75x = 561,004.88 × 561,004.88
  4. Step 4: Simplify right side
    366,738.75x = 314,726,469,773.77
  5. Step 5: Solve for x
    x = 314,726,469,773.77/366,738.75
  6. Step 6: Final answer
    x = 858,176.21

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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.