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Finding the Third Proportional to 338,104.50 and 523,254

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Solution

The third proportional to 338,104.50 and 523,254 is: 809,793.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,104.50 : 523,254 = 523,254 : x
  2. Step 2: Convert to fraction form
    338,104.50/523,254 = 523,254/x
  3. Step 3: Cross multiply
    338,104.50x = 523,254 × 523,254
  4. Step 4: Simplify right side
    338,104.50x = 273,794,748,516
  5. Step 5: Solve for x
    x = 273,794,748,516/338,104.50
  6. Step 6: Final answer
    x = 809,793.27

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.