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Finding the Third Proportional to 723.94 and 1,580.77

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Solution

The third proportional to 723.94 and 1,580.77 is: 3,451.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    723.94 : 1,580.77 = 1,580.77 : x
  2. Step 2: Convert to fraction form
    723.94/1,580.77 = 1,580.77/x
  3. Step 3: Cross multiply
    723.94x = 1,580.77 × 1,580.77
  4. Step 4: Simplify right side
    723.94x = 2,498,819.96
  5. Step 5: Solve for x
    x = 2,498,819.96/723.94
  6. Step 6: Final answer
    x = 3,451.71

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.