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Finding the Third Proportional to 264,325 and 395,334

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Solution

The third proportional to 264,325 and 395,334 is: 591,275.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,325 : 395,334 = 395,334 : x
  2. Step 2: Convert to fraction form
    264,325/395,334 = 395,334/x
  3. Step 3: Cross multiply
    264,325x = 395,334 × 395,334
  4. Step 4: Simplify right side
    264,325x = 156,288,971,556
  5. Step 5: Solve for x
    x = 156,288,971,556/264,325
  6. Step 6: Final answer
    x = 591,275.78

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.