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Finding the Third Proportional to 301,441.50 and 409,367.25

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Solution

The third proportional to 301,441.50 and 409,367.25 is: 555,933.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,441.50 : 409,367.25 = 409,367.25 : x
  2. Step 2: Convert to fraction form
    301,441.50/409,367.25 = 409,367.25/x
  3. Step 3: Cross multiply
    301,441.50x = 409,367.25 × 409,367.25
  4. Step 4: Simplify right side
    301,441.50x = 167,581,545,372.56
  5. Step 5: Solve for x
    x = 167,581,545,372.56/301,441.50
  6. Step 6: Final answer
    x = 555,933.89

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.