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Finding the Third Proportional to 223,444 and 481,872

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Solution

The third proportional to 223,444 and 481,872 is: 1,039,189.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,444 : 481,872 = 481,872 : x
  2. Step 2: Convert to fraction form
    223,444/481,872 = 481,872/x
  3. Step 3: Cross multiply
    223,444x = 481,872 × 481,872
  4. Step 4: Simplify right side
    223,444x = 232,200,624,384
  5. Step 5: Solve for x
    x = 232,200,624,384/223,444
  6. Step 6: Final answer
    x = 1,039,189.35

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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.