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Finding the Third Proportional to 338,085 and 523,224

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Solution

The third proportional to 338,085 and 523,224 is: 809,747.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,085 : 523,224 = 523,224 : x
  2. Step 2: Convert to fraction form
    338,085/523,224 = 523,224/x
  3. Step 3: Cross multiply
    338,085x = 523,224 × 523,224
  4. Step 4: Simplify right side
    338,085x = 273,763,354,176
  5. Step 5: Solve for x
    x = 273,763,354,176/338,085
  6. Step 6: Final answer
    x = 809,747.12

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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.