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Finding the Third Proportional to 958.88 and 1,484.81

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Solution

The third proportional to 958.88 and 1,484.81 is: 2,299.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    958.88 : 1,484.81 = 1,484.81 : x
  2. Step 2: Convert to fraction form
    958.88/1,484.81 = 1,484.81/x
  3. Step 3: Cross multiply
    958.88x = 1,484.81 × 1,484.81
  4. Step 4: Simplify right side
    958.88x = 2,204,668.16
  5. Step 5: Solve for x
    x = 2,204,668.16/958.88
  6. Step 6: Final answer
    x = 2,299.22

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.