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Finding the Third Proportional to 588.94 and 881.58

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Solution

The third proportional to 588.94 and 881.58 is: 1,319.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    588.94 : 881.58 = 881.58 : x
  2. Step 2: Convert to fraction form
    588.94/881.58 = 881.58/x
  3. Step 3: Cross multiply
    588.94x = 881.58 × 881.58
  4. Step 4: Simplify right side
    588.94x = 777,179.99
  5. Step 5: Solve for x
    x = 777,179.99/588.94
  6. Step 6: Final answer
    x = 1,319.63

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.