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Finding the Third Proportional to 383,160.38 and 580,046.06

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Solution

The third proportional to 383,160.38 and 580,046.06 is: 878,100.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,160.38 : 580,046.06 = 580,046.06 : x
  2. Step 2: Convert to fraction form
    383,160.38/580,046.06 = 580,046.06/x
  3. Step 3: Cross multiply
    383,160.38x = 580,046.06 × 580,046.06
  4. Step 4: Simplify right side
    383,160.38x = 336,453,434,621.75
  5. Step 5: Solve for x
    x = 336,453,434,621.75/383,160.38
  6. Step 6: Final answer
    x = 878,100.81

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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.