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Finding the Third Proportional to 326,512 and 494,697

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Solution

The third proportional to 326,512 and 494,697 is: 749,513.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,512 : 494,697 = 494,697 : x
  2. Step 2: Convert to fraction form
    326,512/494,697 = 494,697/x
  3. Step 3: Cross multiply
    326,512x = 494,697 × 494,697
  4. Step 4: Simplify right side
    326,512x = 244,725,121,809
  5. Step 5: Solve for x
    x = 244,725,121,809/326,512
  6. Step 6: Final answer
    x = 749,513.41

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.