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Finding the Third Proportional to 323.16 and 706.43

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Solution

The third proportional to 323.16 and 706.43 is: 1,544.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    323.16 : 706.43 = 706.43 : x
  2. Step 2: Convert to fraction form
    323.16/706.43 = 706.43/x
  3. Step 3: Cross multiply
    323.16x = 706.43 × 706.43
  4. Step 4: Simplify right side
    323.16x = 499,042.90
  5. Step 5: Solve for x
    x = 499,042.90/323.16
  6. Step 6: Final answer
    x = 1,544.28

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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.