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Finding the Third Proportional to 1,706.70 and 2,396.78

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Solution

The third proportional to 1,706.70 and 2,396.78 is: 3,365.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,706.70 : 2,396.78 = 2,396.78 : x
  2. Step 2: Convert to fraction form
    1,706.70/2,396.78 = 2,396.78/x
  3. Step 3: Cross multiply
    1,706.70x = 2,396.78 × 2,396.78
  4. Step 4: Simplify right side
    1,706.70x = 5,744,541.64
  5. Step 5: Solve for x
    x = 5,744,541.64/1,706.70
  6. Step 6: Final answer
    x = 3,365.89

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.