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Finding the Third Proportional to 312.50 and 620.50

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Solution

The third proportional to 312.50 and 620.50 is: 1,232.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    312.50 : 620.50 = 620.50 : x
  2. Step 2: Convert to fraction form
    312.50/620.50 = 620.50/x
  3. Step 3: Cross multiply
    312.50x = 620.50 × 620.50
  4. Step 4: Simplify right side
    312.50x = 385,020.25
  5. Step 5: Solve for x
    x = 385,020.25/312.50
  6. Step 6: Final answer
    x = 1,232.06

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Why These Related Problems?

These problems maintain the same ratio (1.99) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.