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Finding the Third Proportional to 803.84 and 1,706.44

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Solution

The third proportional to 803.84 and 1,706.44 is: 3,622.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    803.84 : 1,706.44 = 1,706.44 : x
  2. Step 2: Convert to fraction form
    803.84/1,706.44 = 1,706.44/x
  3. Step 3: Cross multiply
    803.84x = 1,706.44 × 1,706.44
  4. Step 4: Simplify right side
    803.84x = 2,911,928.94
  5. Step 5: Solve for x
    x = 2,911,928.94/803.84
  6. Step 6: Final answer
    x = 3,622.51

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.