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Finding the Third Proportional to 634.50 and 856.75

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Solution

The third proportional to 634.50 and 856.75 is: 1,156.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    634.50 : 856.75 = 856.75 : x
  2. Step 2: Convert to fraction form
    634.50/856.75 = 856.75/x
  3. Step 3: Cross multiply
    634.50x = 856.75 × 856.75
  4. Step 4: Simplify right side
    634.50x = 734,020.56
  5. Step 5: Solve for x
    x = 734,020.56/634.50
  6. Step 6: Final answer
    x = 1,156.85

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.