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Finding the Third Proportional to 323,845 and 452,860

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Solution

The third proportional to 323,845 and 452,860 is: 633,272.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,845 : 452,860 = 452,860 : x
  2. Step 2: Convert to fraction form
    323,845/452,860 = 452,860/x
  3. Step 3: Cross multiply
    323,845x = 452,860 × 452,860
  4. Step 4: Simplify right side
    323,845x = 205,082,179,600
  5. Step 5: Solve for x
    x = 205,082,179,600/323,845
  6. Step 6: Final answer
    x = 633,272.64

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.