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Finding the Third Proportional to 275,211 and 606,291

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Solution

The third proportional to 275,211 and 606,291 is: 1,335,661.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,211 : 606,291 = 606,291 : x
  2. Step 2: Convert to fraction form
    275,211/606,291 = 606,291/x
  3. Step 3: Cross multiply
    275,211x = 606,291 × 606,291
  4. Step 4: Simplify right side
    275,211x = 367,588,776,681
  5. Step 5: Solve for x
    x = 367,588,776,681/275,211
  6. Step 6: Final answer
    x = 1,335,661.64

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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.