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Finding the Third Proportional to 300.56 and 701.91

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Solution

The third proportional to 300.56 and 701.91 is: 1,639.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    300.56 : 701.91 = 701.91 : x
  2. Step 2: Convert to fraction form
    300.56/701.91 = 701.91/x
  3. Step 3: Cross multiply
    300.56x = 701.91 × 701.91
  4. Step 4: Simplify right side
    300.56x = 492,672.38
  5. Step 5: Solve for x
    x = 492,672.38/300.56
  6. Step 6: Final answer
    x = 1,639.17

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.