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Finding the Third Proportional to 289,272 and 622,941

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Solution

The third proportional to 289,272 and 622,941 is: 1,341,489.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,272 : 622,941 = 622,941 : x
  2. Step 2: Convert to fraction form
    289,272/622,941 = 622,941/x
  3. Step 3: Cross multiply
    289,272x = 622,941 × 622,941
  4. Step 4: Simplify right side
    289,272x = 388,055,489,481
  5. Step 5: Solve for x
    x = 388,055,489,481/289,272
  6. Step 6: Final answer
    x = 1,341,489.98

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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.