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Finding the Third Proportional to 263,217.94 and 376,413.75

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Solution

The third proportional to 263,217.94 and 376,413.75 is: 538,288.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,217.94 : 376,413.75 = 376,413.75 : x
  2. Step 2: Convert to fraction form
    263,217.94/376,413.75 = 376,413.75/x
  3. Step 3: Cross multiply
    263,217.94x = 376,413.75 × 376,413.75
  4. Step 4: Simplify right side
    263,217.94x = 141,687,311,189.06
  5. Step 5: Solve for x
    x = 141,687,311,189.06/263,217.94
  6. Step 6: Final answer
    x = 538,288.97

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.