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Finding the Third Proportional to 284,530 and 622,628

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Solution

The third proportional to 284,530 and 622,628 is: 1,362,477.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,530 : 622,628 = 622,628 : x
  2. Step 2: Convert to fraction form
    284,530/622,628 = 622,628/x
  3. Step 3: Cross multiply
    284,530x = 622,628 × 622,628
  4. Step 4: Simplify right side
    284,530x = 387,665,626,384
  5. Step 5: Solve for x
    x = 387,665,626,384/284,530
  6. Step 6: Final answer
    x = 1,362,477.16

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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.