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Finding the Third Proportional to 296,467 and 443,890

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Solution

The third proportional to 296,467 and 443,890 is: 664,621.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,467 : 443,890 = 443,890 : x
  2. Step 2: Convert to fraction form
    296,467/443,890 = 443,890/x
  3. Step 3: Cross multiply
    296,467x = 443,890 × 443,890
  4. Step 4: Simplify right side
    296,467x = 197,038,332,100
  5. Step 5: Solve for x
    x = 197,038,332,100/296,467
  6. Step 6: Final answer
    x = 664,621.47

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