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Finding the Third Proportional to 337,996 and 734,380

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Solution

The third proportional to 337,996 and 734,380 is: 1,595,622.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,996 : 734,380 = 734,380 : x
  2. Step 2: Convert to fraction form
    337,996/734,380 = 734,380/x
  3. Step 3: Cross multiply
    337,996x = 734,380 × 734,380
  4. Step 4: Simplify right side
    337,996x = 539,313,984,400
  5. Step 5: Solve for x
    x = 539,313,984,400/337,996
  6. Step 6: Final answer
    x = 1,595,622.39

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.