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Finding the Third Proportional to 229,775.75 and 504,906.50

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Solution

The third proportional to 229,775.75 and 504,906.50 is: 1,109,475.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,775.75 : 504,906.50 = 504,906.50 : x
  2. Step 2: Convert to fraction form
    229,775.75/504,906.50 = 504,906.50/x
  3. Step 3: Cross multiply
    229,775.75x = 504,906.50 × 504,906.50
  4. Step 4: Simplify right side
    229,775.75x = 254,930,573,742.25
  5. Step 5: Solve for x
    x = 254,930,573,742.25/229,775.75
  6. Step 6: Final answer
    x = 1,109,475.54

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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.