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Finding the Third Proportional to 713.63 and 1,727.81

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Solution

The third proportional to 713.63 and 1,727.81 is: 4,183.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    713.63 : 1,727.81 = 1,727.81 : x
  2. Step 2: Convert to fraction form
    713.63/1,727.81 = 1,727.81/x
  3. Step 3: Cross multiply
    713.63x = 1,727.81 × 1,727.81
  4. Step 4: Simplify right side
    713.63x = 2,985,336.04
  5. Step 5: Solve for x
    x = 2,985,336.04/713.63
  6. Step 6: Final answer
    x = 4,183.34

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Why These Related Problems?

These problems maintain the same ratio (2.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.