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Finding the Third Proportional to 609,288.75 and 947,661.75

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Solution

The third proportional to 609,288.75 and 947,661.75 is: 1,473,952.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    609,288.75 : 947,661.75 = 947,661.75 : x
  2. Step 2: Convert to fraction form
    609,288.75/947,661.75 = 947,661.75/x
  3. Step 3: Cross multiply
    609,288.75x = 947,661.75 × 947,661.75
  4. Step 4: Simplify right side
    609,288.75x = 898,062,792,413.06
  5. Step 5: Solve for x
    x = 898,062,792,413.06/609,288.75
  6. Step 6: Final answer
    x = 1,473,952.69

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.