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Finding the Third Proportional to 291,311 and 443,048

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Solution

The third proportional to 291,311 and 443,048 is: 673,821.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,311 : 443,048 = 443,048 : x
  2. Step 2: Convert to fraction form
    291,311/443,048 = 443,048/x
  3. Step 3: Cross multiply
    291,311x = 443,048 × 443,048
  4. Step 4: Simplify right side
    291,311x = 196,291,530,304
  5. Step 5: Solve for x
    x = 196,291,530,304/291,311
  6. Step 6: Final answer
    x = 673,821.21

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.