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Finding the Third Proportional to 229,397 and 504,174

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Solution

The third proportional to 229,397 and 504,174 is: 1,108,085.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,397 : 504,174 = 504,174 : x
  2. Step 2: Convert to fraction form
    229,397/504,174 = 504,174/x
  3. Step 3: Cross multiply
    229,397x = 504,174 × 504,174
  4. Step 4: Simplify right side
    229,397x = 254,191,422,276
  5. Step 5: Solve for x
    x = 254,191,422,276/229,397
  6. Step 6: Final answer
    x = 1,108,085.21

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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.