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Finding the Third Proportional to 303,614 and 443,756

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Solution

The third proportional to 303,614 and 443,756 is: 648,584.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,614 : 443,756 = 443,756 : x
  2. Step 2: Convert to fraction form
    303,614/443,756 = 443,756/x
  3. Step 3: Cross multiply
    303,614x = 443,756 × 443,756
  4. Step 4: Simplify right side
    303,614x = 196,919,387,536
  5. Step 5: Solve for x
    x = 196,919,387,536/303,614
  6. Step 6: Final answer
    x = 648,584.68

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.