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Finding the Third Proportional to 229,400 and 504,180

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Solution

The third proportional to 229,400 and 504,180 is: 1,108,097.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,400 : 504,180 = 504,180 : x
  2. Step 2: Convert to fraction form
    229,400/504,180 = 504,180/x
  3. Step 3: Cross multiply
    229,400x = 504,180 × 504,180
  4. Step 4: Simplify right side
    229,400x = 254,197,472,400
  5. Step 5: Solve for x
    x = 254,197,472,400/229,400
  6. Step 6: Final answer
    x = 1,108,097.09

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