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Finding the Third Proportional to 514.50 and 1,223.25

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Solution

The third proportional to 514.50 and 1,223.25 is: 2,908.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    514.50 : 1,223.25 = 1,223.25 : x
  2. Step 2: Convert to fraction form
    514.50/1,223.25 = 1,223.25/x
  3. Step 3: Cross multiply
    514.50x = 1,223.25 × 1,223.25
  4. Step 4: Simplify right side
    514.50x = 1,496,340.56
  5. Step 5: Solve for x
    x = 1,496,340.56/514.50
  6. Step 6: Final answer
    x = 2,908.34

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Why These Related Problems?

These problems maintain the same ratio (2.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.