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Finding the Third Proportional to 223,296 and 481,575

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Solution

The third proportional to 223,296 and 481,575 is: 1,038,596.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,296 : 481,575 = 481,575 : x
  2. Step 2: Convert to fraction form
    223,296/481,575 = 481,575/x
  3. Step 3: Cross multiply
    223,296x = 481,575 × 481,575
  4. Step 4: Simplify right side
    223,296x = 231,914,480,625
  5. Step 5: Solve for x
    x = 231,914,480,625/223,296
  6. Step 6: Final answer
    x = 1,038,596.66

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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.