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Finding the Third Proportional to 601,600.50 and 1,284,383.25

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Solution

The third proportional to 601,600.50 and 1,284,383.25 is: 2,742,086.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    601,600.50 : 1,284,383.25 = 1,284,383.25 : x
  2. Step 2: Convert to fraction form
    601,600.50/1,284,383.25 = 1,284,383.25/x
  3. Step 3: Cross multiply
    601,600.50x = 1,284,383.25 × 1,284,383.25
  4. Step 4: Simplify right side
    601,600.50x = 1,649,640,332,880.56
  5. Step 5: Solve for x
    x = 1,649,640,332,880.56/601,600.50
  6. Step 6: Final answer
    x = 2,742,086.04

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.