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Finding the Third Proportional to 422.50 and 878.50

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Solution

The third proportional to 422.50 and 878.50 is: 1,826.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    422.50 : 878.50 = 878.50 : x
  2. Step 2: Convert to fraction form
    422.50/878.50 = 878.50/x
  3. Step 3: Cross multiply
    422.50x = 878.50 × 878.50
  4. Step 4: Simplify right side
    422.50x = 771,762.25
  5. Step 5: Solve for x
    x = 771,762.25/422.50
  6. Step 6: Final answer
    x = 1,826.66

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.