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Finding the Third Proportional to 589.22 and 881.86

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Solution

The third proportional to 589.22 and 881.86 is: 1,319.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    589.22 : 881.86 = 881.86 : x
  2. Step 2: Convert to fraction form
    589.22/881.86 = 881.86/x
  3. Step 3: Cross multiply
    589.22x = 881.86 × 881.86
  4. Step 4: Simplify right side
    589.22x = 777,675.96
  5. Step 5: Solve for x
    x = 777,675.96/589.22
  6. Step 6: Final answer
    x = 1,319.84

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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.