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Finding the Third Proportional to 311,734 and 676,604

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Solution

The third proportional to 311,734 and 676,604 is: 1,468,537.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,734 : 676,604 = 676,604 : x
  2. Step 2: Convert to fraction form
    311,734/676,604 = 676,604/x
  3. Step 3: Cross multiply
    311,734x = 676,604 × 676,604
  4. Step 4: Simplify right side
    311,734x = 457,792,972,816
  5. Step 5: Solve for x
    x = 457,792,972,816/311,734
  6. Step 6: Final answer
    x = 1,468,537.19

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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.