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Finding the Third Proportional to 233,280 and 628,413.75

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Solution

The third proportional to 233,280 and 628,413.75 is: 1,692,831.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,280 : 628,413.75 = 628,413.75 : x
  2. Step 2: Convert to fraction form
    233,280/628,413.75 = 628,413.75/x
  3. Step 3: Cross multiply
    233,280x = 628,413.75 × 628,413.75
  4. Step 4: Simplify right side
    233,280x = 394,903,841,189.06
  5. Step 5: Solve for x
    x = 394,903,841,189.06/233,280
  6. Step 6: Final answer
    x = 1,692,831.97

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These problems maintain the same ratio (2.69) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.