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Finding the Third Proportional to 221,572 and 483,244

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Solution

The third proportional to 221,572 and 483,244 is: 1,053,945.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,572 : 483,244 = 483,244 : x
  2. Step 2: Convert to fraction form
    221,572/483,244 = 483,244/x
  3. Step 3: Cross multiply
    221,572x = 483,244 × 483,244
  4. Step 4: Simplify right side
    221,572x = 233,524,763,536
  5. Step 5: Solve for x
    x = 233,524,763,536/221,572
  6. Step 6: Final answer
    x = 1,053,945.28

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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.