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Finding the Third Proportional to 324,884 and 523,420

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Solution

The third proportional to 324,884 and 523,420 is: 843,280.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,884 : 523,420 = 523,420 : x
  2. Step 2: Convert to fraction form
    324,884/523,420 = 523,420/x
  3. Step 3: Cross multiply
    324,884x = 523,420 × 523,420
  4. Step 4: Simplify right side
    324,884x = 273,968,496,400
  5. Step 5: Solve for x
    x = 273,968,496,400/324,884
  6. Step 6: Final answer
    x = 843,280.98

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.