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Finding the Third Proportional to 383,661.56 and 600,096.09

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Solution

The third proportional to 383,661.56 and 600,096.09 is: 938,627.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,661.56 : 600,096.09 = 600,096.09 : x
  2. Step 2: Convert to fraction form
    383,661.56/600,096.09 = 600,096.09/x
  3. Step 3: Cross multiply
    383,661.56x = 600,096.09 × 600,096.09
  4. Step 4: Simplify right side
    383,661.56x = 360,115,321,734.01
  5. Step 5: Solve for x
    x = 360,115,321,734.01/383,661.56
  6. Step 6: Final answer
    x = 938,627.57

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.