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Finding the Third Proportional to 1,804.78 and 2,404.69

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Solution

The third proportional to 1,804.78 and 2,404.69 is: 3,204.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,804.78 : 2,404.69 = 2,404.69 : x
  2. Step 2: Convert to fraction form
    1,804.78/2,404.69 = 2,404.69/x
  3. Step 3: Cross multiply
    1,804.78x = 2,404.69 × 2,404.69
  4. Step 4: Simplify right side
    1,804.78x = 5,782,521.97
  5. Step 5: Solve for x
    x = 5,782,521.97/1,804.78
  6. Step 6: Final answer
    x = 3,204.00

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These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.