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Finding the Third Proportional to 330,155.25 and 496,021.50

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Solution

The third proportional to 330,155.25 and 496,021.50 is: 745,217.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    330,155.25 : 496,021.50 = 496,021.50 : x
  2. Step 2: Convert to fraction form
    330,155.25/496,021.50 = 496,021.50/x
  3. Step 3: Cross multiply
    330,155.25x = 496,021.50 × 496,021.50
  4. Step 4: Simplify right side
    330,155.25x = 246,037,328,462.25
  5. Step 5: Solve for x
    x = 246,037,328,462.25/330,155.25
  6. Step 6: Final answer
    x = 745,217.07

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.