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Finding the Third Proportional to 311,416 and 443,790

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Solution

The third proportional to 311,416 and 443,790 is: 632,432.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,416 : 443,790 = 443,790 : x
  2. Step 2: Convert to fraction form
    311,416/443,790 = 443,790/x
  3. Step 3: Cross multiply
    311,416x = 443,790 × 443,790
  4. Step 4: Simplify right side
    311,416x = 196,949,564,100
  5. Step 5: Solve for x
    x = 196,949,564,100/311,416
  6. Step 6: Final answer
    x = 632,432.39

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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.