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Finding the Third Proportional to 325,834 and 504,516

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Solution

The third proportional to 325,834 and 504,516 is: 781,184.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    325,834 : 504,516 = 504,516 : x
  2. Step 2: Convert to fraction form
    325,834/504,516 = 504,516/x
  3. Step 3: Cross multiply
    325,834x = 504,516 × 504,516
  4. Step 4: Simplify right side
    325,834x = 254,536,394,256
  5. Step 5: Solve for x
    x = 254,536,394,256/325,834
  6. Step 6: Final answer
    x = 781,184.27

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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.