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Finding the Third Proportional to 312 and 664.50

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Solution

The third proportional to 312 and 664.50 is: 1,415.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    312 : 664.50 = 664.50 : x
  2. Step 2: Convert to fraction form
    312/664.50 = 664.50/x
  3. Step 3: Cross multiply
    312x = 664.50 × 664.50
  4. Step 4: Simplify right side
    312x = 441,560.25
  5. Step 5: Solve for x
    x = 441,560.25/312
  6. Step 6: Final answer
    x = 1,415.26

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.