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Finding the Third Proportional to 668.88 and 1,384.38

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Solution

The third proportional to 668.88 and 1,384.38 is: 2,865.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    668.88 : 1,384.38 = 1,384.38 : x
  2. Step 2: Convert to fraction form
    668.88/1,384.38 = 1,384.38/x
  3. Step 3: Cross multiply
    668.88x = 1,384.38 × 1,384.38
  4. Step 4: Simplify right side
    668.88x = 1,916,515.77
  5. Step 5: Solve for x
    x = 1,916,515.77/668.88
  6. Step 6: Final answer
    x = 2,865.25

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.