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Finding the Third Proportional to 589.88 and 850.69

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Solution

The third proportional to 589.88 and 850.69 is: 1,226.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    589.88 : 850.69 = 850.69 : x
  2. Step 2: Convert to fraction form
    589.88/850.69 = 850.69/x
  3. Step 3: Cross multiply
    589.88x = 850.69 × 850.69
  4. Step 4: Simplify right side
    589.88x = 723,669.22
  5. Step 5: Solve for x
    x = 723,669.22/589.88
  6. Step 6: Final answer
    x = 1,226.82

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.