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Finding the Third Proportional to 244,413.75 and 357,870.50

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Solution

The third proportional to 244,413.75 and 357,870.50 is: 523,993.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    244,413.75 : 357,870.50 = 357,870.50 : x
  2. Step 2: Convert to fraction form
    244,413.75/357,870.50 = 357,870.50/x
  3. Step 3: Cross multiply
    244,413.75x = 357,870.50 × 357,870.50
  4. Step 4: Simplify right side
    244,413.75x = 128,071,294,770.25
  5. Step 5: Solve for x
    x = 128,071,294,770.25/244,413.75
  6. Step 6: Final answer
    x = 523,993.82

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.