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Finding the Third Proportional to 729.56 and 1,580.63

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Solution

The third proportional to 729.56 and 1,580.63 is: 3,424.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    729.56 : 1,580.63 = 1,580.63 : x
  2. Step 2: Convert to fraction form
    729.56/1,580.63 = 1,580.63/x
  3. Step 3: Cross multiply
    729.56x = 1,580.63 × 1,580.63
  4. Step 4: Simplify right side
    729.56x = 2,498,375.39
  5. Step 5: Solve for x
    x = 2,498,375.39/729.56
  6. Step 6: Final answer
    x = 3,424.48

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.