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Finding the Third Proportional to 301,675.50 and 467,413.50

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Solution

The third proportional to 301,675.50 and 467,413.50 is: 724,206.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,675.50 : 467,413.50 = 467,413.50 : x
  2. Step 2: Convert to fraction form
    301,675.50/467,413.50 = 467,413.50/x
  3. Step 3: Cross multiply
    301,675.50x = 467,413.50 × 467,413.50
  4. Step 4: Simplify right side
    301,675.50x = 218,475,379,982.25
  5. Step 5: Solve for x
    x = 218,475,379,982.25/301,675.50
  6. Step 6: Final answer
    x = 724,206.57

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.