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Finding the Third Proportional to 296,436 and 443,838

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Solution

The third proportional to 296,436 and 443,838 is: 664,535.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,436 : 443,838 = 443,838 : x
  2. Step 2: Convert to fraction form
    296,436/443,838 = 443,838/x
  3. Step 3: Cross multiply
    296,436x = 443,838 × 443,838
  4. Step 4: Simplify right side
    296,436x = 196,992,170,244
  5. Step 5: Solve for x
    x = 196,992,170,244/296,436
  6. Step 6: Final answer
    x = 664,535.25

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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.