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Finding the Third Proportional to 409,908.75 and 620,580.75

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Solution

The third proportional to 409,908.75 and 620,580.75 is: 939,527.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,908.75 : 620,580.75 = 620,580.75 : x
  2. Step 2: Convert to fraction form
    409,908.75/620,580.75 = 620,580.75/x
  3. Step 3: Cross multiply
    409,908.75x = 620,580.75 × 620,580.75
  4. Step 4: Simplify right side
    409,908.75x = 385,120,467,270.56
  5. Step 5: Solve for x
    x = 385,120,467,270.56/409,908.75
  6. Step 6: Final answer
    x = 939,527.31

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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.