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Finding the Third Proportional to 666.84 and 1,463.63

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Solution

The third proportional to 666.84 and 1,463.63 is: 3,212.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    666.84 : 1,463.63 = 1,463.63 : x
  2. Step 2: Convert to fraction form
    666.84/1,463.63 = 1,463.63/x
  3. Step 3: Cross multiply
    666.84x = 1,463.63 × 1,463.63
  4. Step 4: Simplify right side
    666.84x = 2,142,198.14
  5. Step 5: Solve for x
    x = 2,142,198.14/666.84
  6. Step 6: Final answer
    x = 3,212.44

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.