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Finding the Third Proportional to 338,104 and 523,248

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Solution

The third proportional to 338,104 and 523,248 is: 809,775.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,104 : 523,248 = 523,248 : x
  2. Step 2: Convert to fraction form
    338,104/523,248 = 523,248/x
  3. Step 3: Cross multiply
    338,104x = 523,248 × 523,248
  4. Step 4: Simplify right side
    338,104x = 273,788,469,504
  5. Step 5: Solve for x
    x = 273,788,469,504/338,104
  6. Step 6: Final answer
    x = 809,775.90

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Why These Related Problems?

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