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Finding the Third Proportional to 625.50 and 683.25

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Solution

The third proportional to 625.50 and 683.25 is: 746.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    625.50 : 683.25 = 683.25 : x
  2. Step 2: Convert to fraction form
    625.50/683.25 = 683.25/x
  3. Step 3: Cross multiply
    625.50x = 683.25 × 683.25
  4. Step 4: Simplify right side
    625.50x = 466,830.56
  5. Step 5: Solve for x
    x = 466,830.56/625.50
  6. Step 6: Final answer
    x = 746.33

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Why These Related Problems?

These problems maintain the same ratio (1.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.