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Finding the Third Proportional to 184,262 and 399,625

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Solution

The third proportional to 184,262 and 399,625 is: 866,701.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,262 : 399,625 = 399,625 : x
  2. Step 2: Convert to fraction form
    184,262/399,625 = 399,625/x
  3. Step 3: Cross multiply
    184,262x = 399,625 × 399,625
  4. Step 4: Simplify right side
    184,262x = 159,700,140,625
  5. Step 5: Solve for x
    x = 159,700,140,625/184,262
  6. Step 6: Final answer
    x = 866,701.44

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.