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Finding the Third Proportional to 580 and 839

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Solution

The third proportional to 580 and 839 is: 1,213.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    580 : 839 = 839 : x
  2. Step 2: Convert to fraction form
    580/839 = 839/x
  3. Step 3: Cross multiply
    580x = 839 × 839
  4. Step 4: Simplify right side
    580x = 703,921
  5. Step 5: Solve for x
    x = 703,921/580
  6. Step 6: Final answer
    x = 1,213.66

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.