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Finding the Third Proportional to 268,719 and 401,674.50

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Solution

The third proportional to 268,719 and 401,674.50 is: 600,413.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,719 : 401,674.50 = 401,674.50 : x
  2. Step 2: Convert to fraction form
    268,719/401,674.50 = 401,674.50/x
  3. Step 3: Cross multiply
    268,719x = 401,674.50 × 401,674.50
  4. Step 4: Simplify right side
    268,719x = 161,342,403,950.25
  5. Step 5: Solve for x
    x = 161,342,403,950.25/268,719
  6. Step 6: Final answer
    x = 600,413.09

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.