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Finding the Third Proportional to 323.75 and 703.75

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Solution

The third proportional to 323.75 and 703.75 is: 1,529.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    323.75 : 703.75 = 703.75 : x
  2. Step 2: Convert to fraction form
    323.75/703.75 = 703.75/x
  3. Step 3: Cross multiply
    323.75x = 703.75 × 703.75
  4. Step 4: Simplify right side
    323.75x = 495,264.06
  5. Step 5: Solve for x
    x = 495,264.06/323.75
  6. Step 6: Final answer
    x = 1,529.77

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.