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Finding the Third Proportional to 311,417 and 443,791

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Solution

The third proportional to 311,417 and 443,791 is: 632,433.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,417 : 443,791 = 443,791 : x
  2. Step 2: Convert to fraction form
    311,417/443,791 = 443,791/x
  3. Step 3: Cross multiply
    311,417x = 443,791 × 443,791
  4. Step 4: Simplify right side
    311,417x = 196,950,451,681
  5. Step 5: Solve for x
    x = 196,950,451,681/311,417
  6. Step 6: Final answer
    x = 632,433.21

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.