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Finding the Third Proportional to 383,163.75 and 580,051.69

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Solution

The third proportional to 383,163.75 and 580,051.69 is: 878,110.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,163.75 : 580,051.69 = 580,051.69 : x
  2. Step 2: Convert to fraction form
    383,163.75/580,051.69 = 580,051.69/x
  3. Step 3: Cross multiply
    383,163.75x = 580,051.69 × 580,051.69
  4. Step 4: Simplify right side
    383,163.75x = 336,459,960,171.60
  5. Step 5: Solve for x
    x = 336,459,960,171.60/383,163.75
  6. Step 6: Final answer
    x = 878,110.10

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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.