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Finding the Third Proportional to 584.63 and 1,213.13

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Solution

The third proportional to 584.63 and 1,213.13 is: 2,517.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    584.63 : 1,213.13 = 1,213.13 : x
  2. Step 2: Convert to fraction form
    584.63/1,213.13 = 1,213.13/x
  3. Step 3: Cross multiply
    584.63x = 1,213.13 × 1,213.13
  4. Step 4: Simplify right side
    584.63x = 1,471,672.27
  5. Step 5: Solve for x
    x = 1,471,672.27/584.63
  6. Step 6: Final answer
    x = 2,517.29

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.