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Finding the Third Proportional to 284,384 and 622,336

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Solution

The third proportional to 284,384 and 622,336 is: 1,361,898.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,384 : 622,336 = 622,336 : x
  2. Step 2: Convert to fraction form
    284,384/622,336 = 622,336/x
  3. Step 3: Cross multiply
    284,384x = 622,336 × 622,336
  4. Step 4: Simplify right side
    284,384x = 387,302,096,896
  5. Step 5: Solve for x
    x = 387,302,096,896/284,384
  6. Step 6: Final answer
    x = 1,361,898.34

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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.