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Finding the Third Proportional to 312 and 844.50

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Solution

The third proportional to 312 and 844.50 is: 2,285.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    312 : 844.50 = 844.50 : x
  2. Step 2: Convert to fraction form
    312/844.50 = 844.50/x
  3. Step 3: Cross multiply
    312x = 844.50 × 844.50
  4. Step 4: Simplify right side
    312x = 713,180.25
  5. Step 5: Solve for x
    x = 713,180.25/312
  6. Step 6: Final answer
    x = 2,285.83

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Why These Related Problems?

These problems maintain the same ratio (2.71) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.