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Finding the Third Proportional to 300,784.50 and 401,388.75

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Solution

The third proportional to 300,784.50 and 401,388.75 is: 535,642.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,784.50 : 401,388.75 = 401,388.75 : x
  2. Step 2: Convert to fraction form
    300,784.50/401,388.75 = 401,388.75/x
  3. Step 3: Cross multiply
    300,784.50x = 401,388.75 × 401,388.75
  4. Step 4: Simplify right side
    300,784.50x = 161,112,928,626.56
  5. Step 5: Solve for x
    x = 161,112,928,626.56/300,784.50
  6. Step 6: Final answer
    x = 535,642.39

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These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.