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Finding the Third Proportional to 438,096 and 659,088

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Solution

The third proportional to 438,096 and 659,088 is: 991,556.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,096 : 659,088 = 659,088 : x
  2. Step 2: Convert to fraction form
    438,096/659,088 = 659,088/x
  3. Step 3: Cross multiply
    438,096x = 659,088 × 659,088
  4. Step 4: Simplify right side
    438,096x = 434,396,991,744
  5. Step 5: Solve for x
    x = 434,396,991,744/438,096
  6. Step 6: Final answer
    x = 991,556.63

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.