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Finding the Third Proportional to 383,374.50 and 580,434.75

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Solution

The third proportional to 383,374.50 and 580,434.75 is: 878,786.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,374.50 : 580,434.75 = 580,434.75 : x
  2. Step 2: Convert to fraction form
    383,374.50/580,434.75 = 580,434.75/x
  3. Step 3: Cross multiply
    383,374.50x = 580,434.75 × 580,434.75
  4. Step 4: Simplify right side
    383,374.50x = 336,904,499,007.56
  5. Step 5: Solve for x
    x = 336,904,499,007.56/383,374.50
  6. Step 6: Final answer
    x = 878,786.93

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.