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Finding the Third Proportional to 229,419 and 504,225

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Solution

The third proportional to 229,419 and 504,225 is: 1,108,203.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,419 : 504,225 = 504,225 : x
  2. Step 2: Convert to fraction form
    229,419/504,225 = 504,225/x
  3. Step 3: Cross multiply
    229,419x = 504,225 × 504,225
  4. Step 4: Simplify right side
    229,419x = 254,242,850,625
  5. Step 5: Solve for x
    x = 254,242,850,625/229,419
  6. Step 6: Final answer
    x = 1,108,203.12

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.