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Finding the Third Proportional to 311,542 and 445,510

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Solution

The third proportional to 311,542 and 445,510 is: 637,086.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,542 : 445,510 = 445,510 : x
  2. Step 2: Convert to fraction form
    311,542/445,510 = 445,510/x
  3. Step 3: Cross multiply
    311,542x = 445,510 × 445,510
  4. Step 4: Simplify right side
    311,542x = 198,479,160,100
  5. Step 5: Solve for x
    x = 198,479,160,100/311,542
  6. Step 6: Final answer
    x = 637,086.36

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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.