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Finding the Third Proportional to 311,934 and 446,082

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Solution

The third proportional to 311,934 and 446,082 is: 637,920.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,934 : 446,082 = 446,082 : x
  2. Step 2: Convert to fraction form
    311,934/446,082 = 446,082/x
  3. Step 3: Cross multiply
    311,934x = 446,082 × 446,082
  4. Step 4: Simplify right side
    311,934x = 198,989,150,724
  5. Step 5: Solve for x
    x = 198,989,150,724/311,934
  6. Step 6: Final answer
    x = 637,920.68

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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.