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Finding the Third Proportional to 294,851 and 441,812

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Solution

The third proportional to 294,851 and 441,812 is: 662,021.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,851 : 441,812 = 441,812 : x
  2. Step 2: Convert to fraction form
    294,851/441,812 = 441,812/x
  3. Step 3: Cross multiply
    294,851x = 441,812 × 441,812
  4. Step 4: Simplify right side
    294,851x = 195,197,843,344
  5. Step 5: Solve for x
    x = 195,197,843,344/294,851
  6. Step 6: Final answer
    x = 662,021.98

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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.