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Finding the Third Proportional to 283,824 and 622,944

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Solution

The third proportional to 283,824 and 622,944 is: 1,367,253.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,824 : 622,944 = 622,944 : x
  2. Step 2: Convert to fraction form
    283,824/622,944 = 622,944/x
  3. Step 3: Cross multiply
    283,824x = 622,944 × 622,944
  4. Step 4: Simplify right side
    283,824x = 388,059,227,136
  5. Step 5: Solve for x
    x = 388,059,227,136/283,824
  6. Step 6: Final answer
    x = 1,367,253.04

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.