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Finding the Third Proportional to 1,480.06 and 2,209.94

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Solution

The third proportional to 1,480.06 and 2,209.94 is: 3,299.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,480.06 : 2,209.94 = 2,209.94 : x
  2. Step 2: Convert to fraction form
    1,480.06/2,209.94 = 2,209.94/x
  3. Step 3: Cross multiply
    1,480.06x = 2,209.94 × 2,209.94
  4. Step 4: Simplify right side
    1,480.06x = 4,883,823.75
  5. Step 5: Solve for x
    x = 4,883,823.75/1,480.06
  6. Step 6: Final answer
    x = 3,299.74

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.