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Finding the Third Proportional to 588.94 and 821.39

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Solution

The third proportional to 588.94 and 821.39 is: 1,145.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    588.94 : 821.39 = 821.39 : x
  2. Step 2: Convert to fraction form
    588.94/821.39 = 821.39/x
  3. Step 3: Cross multiply
    588.94x = 821.39 × 821.39
  4. Step 4: Simplify right side
    588.94x = 674,682.56
  5. Step 5: Solve for x
    x = 674,682.56/588.94
  6. Step 6: Final answer
    x = 1,145.59

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.