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Finding the Third Proportional to 785.44 and 1,706.44

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Solution

The third proportional to 785.44 and 1,706.44 is: 3,707.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    785.44 : 1,706.44 = 1,706.44 : x
  2. Step 2: Convert to fraction form
    785.44/1,706.44 = 1,706.44/x
  3. Step 3: Cross multiply
    785.44x = 1,706.44 × 1,706.44
  4. Step 4: Simplify right side
    785.44x = 2,911,928.94
  5. Step 5: Solve for x
    x = 2,911,928.94/785.44
  6. Step 6: Final answer
    x = 3,707.40

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.