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Finding the Third Proportional to 785.06 and 1,382.81

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Solution

The third proportional to 785.06 and 1,382.81 is: 2,435.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    785.06 : 1,382.81 = 1,382.81 : x
  2. Step 2: Convert to fraction form
    785.06/1,382.81 = 1,382.81/x
  3. Step 3: Cross multiply
    785.06x = 1,382.81 × 1,382.81
  4. Step 4: Simplify right side
    785.06x = 1,912,170.41
  5. Step 5: Solve for x
    x = 1,912,170.41/785.06
  6. Step 6: Final answer
    x = 2,435.69

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Why These Related Problems?

These problems maintain the same ratio (1.76) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.