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Finding the Third Proportional to 303,709.50 and 664,618.50

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Solution

The third proportional to 303,709.50 and 664,618.50 is: 1,454,408.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,709.50 : 664,618.50 = 664,618.50 : x
  2. Step 2: Convert to fraction form
    303,709.50/664,618.50 = 664,618.50/x
  3. Step 3: Cross multiply
    303,709.50x = 664,618.50 × 664,618.50
  4. Step 4: Simplify right side
    303,709.50x = 441,717,750,542.25
  5. Step 5: Solve for x
    x = 441,717,750,542.25/303,709.50
  6. Step 6: Final answer
    x = 1,454,408.74

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.