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Finding the Third Proportional to 422,118 and 632,443.50

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Solution

The third proportional to 422,118 and 632,443.50 is: 947,566.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,118 : 632,443.50 = 632,443.50 : x
  2. Step 2: Convert to fraction form
    422,118/632,443.50 = 632,443.50/x
  3. Step 3: Cross multiply
    422,118x = 632,443.50 × 632,443.50
  4. Step 4: Simplify right side
    422,118x = 399,984,780,692.25
  5. Step 5: Solve for x
    x = 399,984,780,692.25/422,118
  6. Step 6: Final answer
    x = 947,566.27

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.