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Finding the Third Proportional to 383,176.50 and 580,071.75

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Solution

The third proportional to 383,176.50 and 580,071.75 is: 878,141.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,176.50 : 580,071.75 = 580,071.75 : x
  2. Step 2: Convert to fraction form
    383,176.50/580,071.75 = 580,071.75/x
  3. Step 3: Cross multiply
    383,176.50x = 580,071.75 × 580,071.75
  4. Step 4: Simplify right side
    383,176.50x = 336,483,235,148.06
  5. Step 5: Solve for x
    x = 336,483,235,148.06/383,176.50
  6. Step 6: Final answer
    x = 878,141.63

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