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Finding the Third Proportional to 365,827.50 and 485,383.50

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Solution

The third proportional to 365,827.50 and 485,383.50 is: 644,011.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,827.50 : 485,383.50 = 485,383.50 : x
  2. Step 2: Convert to fraction form
    365,827.50/485,383.50 = 485,383.50/x
  3. Step 3: Cross multiply
    365,827.50x = 485,383.50 × 485,383.50
  4. Step 4: Simplify right side
    365,827.50x = 235,597,142,072.25
  5. Step 5: Solve for x
    x = 235,597,142,072.25/365,827.50
  6. Step 6: Final answer
    x = 644,011.57

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These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.