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Finding the Third Proportional to 229,774.22 and 504,903.38

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Solution

The third proportional to 229,774.22 and 504,903.38 is: 1,109,469.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,774.22 : 504,903.38 = 504,903.38 : x
  2. Step 2: Convert to fraction form
    229,774.22/504,903.38 = 504,903.38/x
  3. Step 3: Cross multiply
    229,774.22x = 504,903.38 × 504,903.38
  4. Step 4: Simplify right side
    229,774.22x = 254,927,418,086.39
  5. Step 5: Solve for x
    x = 254,927,418,086.39/229,774.22
  6. Step 6: Final answer
    x = 1,109,469.20

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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.