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Finding the Third Proportional to 312 and 684.19

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Solution

The third proportional to 312 and 684.19 is: 1,500.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    312 : 684.19 = 684.19 : x
  2. Step 2: Convert to fraction form
    312/684.19 = 684.19/x
  3. Step 3: Cross multiply
    312x = 684.19 × 684.19
  4. Step 4: Simplify right side
    312x = 468,112.54
  5. Step 5: Solve for x
    x = 468,112.54/312
  6. Step 6: Final answer
    x = 1,500.36

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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.