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Finding the Third Proportional to 713.81 and 1,728.84

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Solution

The third proportional to 713.81 and 1,728.84 is: 4,187.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    713.81 : 1,728.84 = 1,728.84 : x
  2. Step 2: Convert to fraction form
    713.81/1,728.84 = 1,728.84/x
  3. Step 3: Cross multiply
    713.81x = 1,728.84 × 1,728.84
  4. Step 4: Simplify right side
    713.81x = 2,988,900.71
  5. Step 5: Solve for x
    x = 2,988,900.71/713.81
  6. Step 6: Final answer
    x = 4,187.24

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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.