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Finding the Third Proportional to 221,571 and 483,242

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Solution

The third proportional to 221,571 and 483,242 is: 1,053,941.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,571 : 483,242 = 483,242 : x
  2. Step 2: Convert to fraction form
    221,571/483,242 = 483,242/x
  3. Step 3: Cross multiply
    221,571x = 483,242 × 483,242
  4. Step 4: Simplify right side
    221,571x = 233,522,830,564
  5. Step 5: Solve for x
    x = 233,522,830,564/221,571
  6. Step 6: Final answer
    x = 1,053,941.31

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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.