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Finding the Third Proportional to 311,472 and 670,328

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Solution

The third proportional to 311,472 and 670,328 is: 1,442,632.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,472 : 670,328 = 670,328 : x
  2. Step 2: Convert to fraction form
    311,472/670,328 = 670,328/x
  3. Step 3: Cross multiply
    311,472x = 670,328 × 670,328
  4. Step 4: Simplify right side
    311,472x = 449,339,627,584
  5. Step 5: Solve for x
    x = 449,339,627,584/311,472
  6. Step 6: Final answer
    x = 1,442,632.49

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.