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Finding the Third Proportional to 301,212.56 and 401,571.84

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Solution

The third proportional to 301,212.56 and 401,571.84 is: 535,369.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,212.56 : 401,571.84 = 401,571.84 : x
  2. Step 2: Convert to fraction form
    301,212.56/401,571.84 = 401,571.84/x
  3. Step 3: Cross multiply
    301,212.56x = 401,571.84 × 401,571.84
  4. Step 4: Simplify right side
    301,212.56x = 161,259,945,692.77
  5. Step 5: Solve for x
    x = 161,259,945,692.77/301,212.56
  6. Step 6: Final answer
    x = 535,369.26

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Why These Related Problems?

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