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Finding the Third Proportional to 322.69 and 706.41

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Solution

The third proportional to 322.69 and 706.41 is: 1,546.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    322.69 : 706.41 = 706.41 : x
  2. Step 2: Convert to fraction form
    322.69/706.41 = 706.41/x
  3. Step 3: Cross multiply
    322.69x = 706.41 × 706.41
  4. Step 4: Simplify right side
    322.69x = 499,009.79
  5. Step 5: Solve for x
    x = 499,009.79/322.69
  6. Step 6: Final answer
    x = 1,546.42

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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.