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Finding the Third Proportional to 288,090.50 and 436,110.75

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Solution

The third proportional to 288,090.50 and 436,110.75 is: 660,183.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,090.50 : 436,110.75 = 436,110.75 : x
  2. Step 2: Convert to fraction form
    288,090.50/436,110.75 = 436,110.75/x
  3. Step 3: Cross multiply
    288,090.50x = 436,110.75 × 436,110.75
  4. Step 4: Simplify right side
    288,090.50x = 190,192,586,265.56
  5. Step 5: Solve for x
    x = 190,192,586,265.56/288,090.50
  6. Step 6: Final answer
    x = 660,183.47

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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.