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Finding the Third Proportional to 284,858 and 622,650

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Solution

The third proportional to 284,858 and 622,650 is: 1,361,004.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,858 : 622,650 = 622,650 : x
  2. Step 2: Convert to fraction form
    284,858/622,650 = 622,650/x
  3. Step 3: Cross multiply
    284,858x = 622,650 × 622,650
  4. Step 4: Simplify right side
    284,858x = 387,693,022,500
  5. Step 5: Solve for x
    x = 387,693,022,500/284,858
  6. Step 6: Final answer
    x = 1,361,004.51

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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.