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Finding the Third Proportional to 275,311 and 606,498

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Solution

The third proportional to 275,311 and 606,498 is: 1,336,088.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,311 : 606,498 = 606,498 : x
  2. Step 2: Convert to fraction form
    275,311/606,498 = 606,498/x
  3. Step 3: Cross multiply
    275,311x = 606,498 × 606,498
  4. Step 4: Simplify right side
    275,311x = 367,839,824,004
  5. Step 5: Solve for x
    x = 367,839,824,004/275,311
  6. Step 6: Final answer
    x = 1,336,088.37

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.