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Finding the Third Proportional to 193,563 and 455,413.50

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Solution

The third proportional to 193,563 and 455,413.50 is: 1,071,493.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,563 : 455,413.50 = 455,413.50 : x
  2. Step 2: Convert to fraction form
    193,563/455,413.50 = 455,413.50/x
  3. Step 3: Cross multiply
    193,563x = 455,413.50 × 455,413.50
  4. Step 4: Simplify right side
    193,563x = 207,401,455,982.25
  5. Step 5: Solve for x
    x = 207,401,455,982.25/193,563
  6. Step 6: Final answer
    x = 1,071,493.29

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These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.