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Finding the Third Proportional to 225,184 and 481,832

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Solution

The third proportional to 225,184 and 481,832 is: 1,030,988.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,184 : 481,832 = 481,832 : x
  2. Step 2: Convert to fraction form
    225,184/481,832 = 481,832/x
  3. Step 3: Cross multiply
    225,184x = 481,832 × 481,832
  4. Step 4: Simplify right side
    225,184x = 232,162,076,224
  5. Step 5: Solve for x
    x = 232,162,076,224/225,184
  6. Step 6: Final answer
    x = 1,030,988.33

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.