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Finding the Third Proportional to 285,738 and 622,272

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Solution

The third proportional to 285,738 and 622,272 is: 1,355,166.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,738 : 622,272 = 622,272 : x
  2. Step 2: Convert to fraction form
    285,738/622,272 = 622,272/x
  3. Step 3: Cross multiply
    285,738x = 622,272 × 622,272
  4. Step 4: Simplify right side
    285,738x = 387,222,441,984
  5. Step 5: Solve for x
    x = 387,222,441,984/285,738
  6. Step 6: Final answer
    x = 1,355,166.07

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.