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Finding the Third Proportional to 221,546 and 483,192

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Solution

The third proportional to 221,546 and 483,192 is: 1,053,842.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,546 : 483,192 = 483,192 : x
  2. Step 2: Convert to fraction form
    221,546/483,192 = 483,192/x
  3. Step 3: Cross multiply
    221,546x = 483,192 × 483,192
  4. Step 4: Simplify right side
    221,546x = 233,474,508,864
  5. Step 5: Solve for x
    x = 233,474,508,864/221,546
  6. Step 6: Final answer
    x = 1,053,842.13

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.