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Finding the Third Proportional to 223,420 and 481,832

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Solution

The third proportional to 223,420 and 481,832 is: 1,039,128.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,420 : 481,832 = 481,832 : x
  2. Step 2: Convert to fraction form
    223,420/481,832 = 481,832/x
  3. Step 3: Cross multiply
    223,420x = 481,832 × 481,832
  4. Step 4: Simplify right side
    223,420x = 232,162,076,224
  5. Step 5: Solve for x
    x = 232,162,076,224/223,420
  6. Step 6: Final answer
    x = 1,039,128.44

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.