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Finding the Third Proportional to 589.69 and 884.81

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Solution

The third proportional to 589.69 and 884.81 is: 1,327.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    589.69 : 884.81 = 884.81 : x
  2. Step 2: Convert to fraction form
    589.69/884.81 = 884.81/x
  3. Step 3: Cross multiply
    589.69x = 884.81 × 884.81
  4. Step 4: Simplify right side
    589.69x = 782,893.16
  5. Step 5: Solve for x
    x = 782,893.16/589.69
  6. Step 6: Final answer
    x = 1,327.64

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Why These Related Problems?

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