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Finding the Third Proportional to 718.03 and 1,481.06

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Solution

The third proportional to 718.03 and 1,481.06 is: 3,054.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    718.03 : 1,481.06 = 1,481.06 : x
  2. Step 2: Convert to fraction form
    718.03/1,481.06 = 1,481.06/x
  3. Step 3: Cross multiply
    718.03x = 1,481.06 × 1,481.06
  4. Step 4: Simplify right side
    718.03x = 2,193,546.13
  5. Step 5: Solve for x
    x = 2,193,546.13/718.03
  6. Step 6: Final answer
    x = 3,054.95

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.