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Finding the Third Proportional to 729.56 and 1,600.88

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Solution

The third proportional to 729.56 and 1,600.88 is: 3,512.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    729.56 : 1,600.88 = 1,600.88 : x
  2. Step 2: Convert to fraction form
    729.56/1,600.88 = 1,600.88/x
  3. Step 3: Cross multiply
    729.56x = 1,600.88 × 1,600.88
  4. Step 4: Simplify right side
    729.56x = 2,562,800.77
  5. Step 5: Solve for x
    x = 2,562,800.77/729.56
  6. Step 6: Final answer
    x = 3,512.79

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.