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Finding the Third Proportional to 305,424.75 and 401,639.25

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Solution

The third proportional to 305,424.75 and 401,639.25 is: 528,163.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,424.75 : 401,639.25 = 401,639.25 : x
  2. Step 2: Convert to fraction form
    305,424.75/401,639.25 = 401,639.25/x
  3. Step 3: Cross multiply
    305,424.75x = 401,639.25 × 401,639.25
  4. Step 4: Simplify right side
    305,424.75x = 161,314,087,140.56
  5. Step 5: Solve for x
    x = 161,314,087,140.56/305,424.75
  6. Step 6: Final answer
    x = 528,163.11

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These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.