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Finding the Third Proportional to 284,820 and 622,838

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Solution

The third proportional to 284,820 and 622,838 is: 1,362,008.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,820 : 622,838 = 622,838 : x
  2. Step 2: Convert to fraction form
    284,820/622,838 = 622,838/x
  3. Step 3: Cross multiply
    284,820x = 622,838 × 622,838
  4. Step 4: Simplify right side
    284,820x = 387,927,174,244
  5. Step 5: Solve for x
    x = 387,927,174,244/284,820
  6. Step 6: Final answer
    x = 1,362,008.20

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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.