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Finding the Third Proportional to 720.77 and 1,661.45

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Solution

The third proportional to 720.77 and 1,661.45 is: 3,829.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    720.77 : 1,661.45 = 1,661.45 : x
  2. Step 2: Convert to fraction form
    720.77/1,661.45 = 1,661.45/x
  3. Step 3: Cross multiply
    720.77x = 1,661.45 × 1,661.45
  4. Step 4: Simplify right side
    720.77x = 2,760,413.51
  5. Step 5: Solve for x
    x = 2,760,413.51/720.77
  6. Step 6: Final answer
    x = 3,829.79

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.