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Finding the Third Proportional to 722.67 and 1,581.05

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Solution

The third proportional to 722.67 and 1,581.05 is: 3,458.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    722.67 : 1,581.05 = 1,581.05 : x
  2. Step 2: Convert to fraction form
    722.67/1,581.05 = 1,581.05/x
  3. Step 3: Cross multiply
    722.67x = 1,581.05 × 1,581.05
  4. Step 4: Simplify right side
    722.67x = 2,499,709.22
  5. Step 5: Solve for x
    x = 2,499,709.22/722.67
  6. Step 6: Final answer
    x = 3,458.98

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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.