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Finding the Third Proportional to 305,150 and 443,874

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Solution

The third proportional to 305,150 and 443,874 is: 645,663.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,150 : 443,874 = 443,874 : x
  2. Step 2: Convert to fraction form
    305,150/443,874 = 443,874/x
  3. Step 3: Cross multiply
    305,150x = 443,874 × 443,874
  4. Step 4: Simplify right side
    305,150x = 197,024,127,876
  5. Step 5: Solve for x
    x = 197,024,127,876/305,150
  6. Step 6: Final answer
    x = 645,663.21

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.