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Finding the Third Proportional to 1,304.86 and 2,019.59

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Solution

The third proportional to 1,304.86 and 2,019.59 is: 3,125.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,304.86 : 2,019.59 = 2,019.59 : x
  2. Step 2: Convert to fraction form
    1,304.86/2,019.59 = 2,019.59/x
  3. Step 3: Cross multiply
    1,304.86x = 2,019.59 × 2,019.59
  4. Step 4: Simplify right side
    1,304.86x = 4,078,727.36
  5. Step 5: Solve for x
    x = 4,078,727.36/1,304.86
  6. Step 6: Final answer
    x = 3,125.80

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.