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Finding the Third Proportional to 666.84 and 859.36

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Solution

The third proportional to 666.84 and 859.36 is: 1,107.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    666.84 : 859.36 = 859.36 : x
  2. Step 2: Convert to fraction form
    666.84/859.36 = 859.36/x
  3. Step 3: Cross multiply
    666.84x = 859.36 × 859.36
  4. Step 4: Simplify right side
    666.84x = 738,498.54
  5. Step 5: Solve for x
    x = 738,498.54/666.84
  6. Step 6: Final answer
    x = 1,107.45

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Why These Related Problems?

These problems maintain the same ratio (1.29) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.