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Finding the Third Proportional to 508,923 and 788,413.50

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Solution

The third proportional to 508,923 and 788,413.50 is: 1,221,394.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,923 : 788,413.50 = 788,413.50 : x
  2. Step 2: Convert to fraction form
    508,923/788,413.50 = 788,413.50/x
  3. Step 3: Cross multiply
    508,923x = 788,413.50 × 788,413.50
  4. Step 4: Simplify right side
    508,923x = 621,595,846,982.25
  5. Step 5: Solve for x
    x = 621,595,846,982.25/508,923
  6. Step 6: Final answer
    x = 1,221,394.68

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