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Finding the Third Proportional to 290.81 and 611.63

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Solution

The third proportional to 290.81 and 611.63 is: 1,286.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    290.81 : 611.63 = 611.63 : x
  2. Step 2: Convert to fraction form
    290.81/611.63 = 611.63/x
  3. Step 3: Cross multiply
    290.81x = 611.63 × 611.63
  4. Step 4: Simplify right side
    290.81x = 374,085.14
  5. Step 5: Solve for x
    x = 374,085.14/290.81
  6. Step 6: Final answer
    x = 1,286.34

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.