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Finding the Third Proportional to 1,046.67 and 2,298.80

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Solution

The third proportional to 1,046.67 and 2,298.80 is: 5,048.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,046.67 : 2,298.80 = 2,298.80 : x
  2. Step 2: Convert to fraction form
    1,046.67/2,298.80 = 2,298.80/x
  3. Step 3: Cross multiply
    1,046.67x = 2,298.80 × 2,298.80
  4. Step 4: Simplify right side
    1,046.67x = 5,284,467.07
  5. Step 5: Solve for x
    x = 5,284,467.07/1,046.67
  6. Step 6: Final answer
    x = 5,048.83

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.