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Finding the Third Proportional to 304.13 and 701.81

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Solution

The third proportional to 304.13 and 701.81 is: 1,619.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    304.13 : 701.81 = 701.81 : x
  2. Step 2: Convert to fraction form
    304.13/701.81 = 701.81/x
  3. Step 3: Cross multiply
    304.13x = 701.81 × 701.81
  4. Step 4: Simplify right side
    304.13x = 492,540.79
  5. Step 5: Solve for x
    x = 492,540.79/304.13
  6. Step 6: Final answer
    x = 1,619.53

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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.