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Finding the Third Proportional to 330,592.50 and 491,028.75

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Solution

The third proportional to 330,592.50 and 491,028.75 is: 729,324.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    330,592.50 : 491,028.75 = 491,028.75 : x
  2. Step 2: Convert to fraction form
    330,592.50/491,028.75 = 491,028.75/x
  3. Step 3: Cross multiply
    330,592.50x = 491,028.75 × 491,028.75
  4. Step 4: Simplify right side
    330,592.50x = 241,109,233,326.56
  5. Step 5: Solve for x
    x = 241,109,233,326.56/330,592.50
  6. Step 6: Final answer
    x = 729,324.57

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.