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Finding the Third Proportional to 685.50 and 1,450.50

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Solution

The third proportional to 685.50 and 1,450.50 is: 3,069.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    685.50 : 1,450.50 = 1,450.50 : x
  2. Step 2: Convert to fraction form
    685.50/1,450.50 = 1,450.50/x
  3. Step 3: Cross multiply
    685.50x = 1,450.50 × 1,450.50
  4. Step 4: Simplify right side
    685.50x = 2,103,950.25
  5. Step 5: Solve for x
    x = 2,103,950.25/685.50
  6. Step 6: Final answer
    x = 3,069.22

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.