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Finding the Third Proportional to 287,772.75 and 451,428.19

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Solution

The third proportional to 287,772.75 and 451,428.19 is: 708,153.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,772.75 : 451,428.19 = 451,428.19 : x
  2. Step 2: Convert to fraction form
    287,772.75/451,428.19 = 451,428.19/x
  3. Step 3: Cross multiply
    287,772.75x = 451,428.19 × 451,428.19
  4. Step 4: Simplify right side
    287,772.75x = 203,787,408,469.54
  5. Step 5: Solve for x
    x = 203,787,408,469.54/287,772.75
  6. Step 6: Final answer
    x = 708,153.95

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.