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Finding the Third Proportional to 309,413.63 and 492,337.69

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Solution

The third proportional to 309,413.63 and 492,337.69 is: 783,405.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,413.63 : 492,337.69 = 492,337.69 : x
  2. Step 2: Convert to fraction form
    309,413.63/492,337.69 = 492,337.69/x
  3. Step 3: Cross multiply
    309,413.63x = 492,337.69 × 492,337.69
  4. Step 4: Simplify right side
    309,413.63x = 242,396,398,532.85
  5. Step 5: Solve for x
    x = 242,396,398,532.85/309,413.63
  6. Step 6: Final answer
    x = 783,405.70

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.