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Finding the Third Proportional to 323.75 and 708.50

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Solution

The third proportional to 323.75 and 708.50 is: 1,550.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    323.75 : 708.50 = 708.50 : x
  2. Step 2: Convert to fraction form
    323.75/708.50 = 708.50/x
  3. Step 3: Cross multiply
    323.75x = 708.50 × 708.50
  4. Step 4: Simplify right side
    323.75x = 501,972.25
  5. Step 5: Solve for x
    x = 501,972.25/323.75
  6. Step 6: Final answer
    x = 1,550.49

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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.