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Finding the Third Proportional to 422.63 and 856.88

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Solution

The third proportional to 422.63 and 856.88 is: 1,737.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    422.63 : 856.88 = 856.88 : x
  2. Step 2: Convert to fraction form
    422.63/856.88 = 856.88/x
  3. Step 3: Cross multiply
    422.63x = 856.88 × 856.88
  4. Step 4: Simplify right side
    422.63x = 734,234.77
  5. Step 5: Solve for x
    x = 734,234.77/422.63
  6. Step 6: Final answer
    x = 1,737.32

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.