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Finding the Third Proportional to 229,774.75 and 504,904.75

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Solution

The third proportional to 229,774.75 and 504,904.75 is: 1,109,472.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,774.75 : 504,904.75 = 504,904.75 : x
  2. Step 2: Convert to fraction form
    229,774.75/504,904.75 = 504,904.75/x
  3. Step 3: Cross multiply
    229,774.75x = 504,904.75 × 504,904.75
  4. Step 4: Simplify right side
    229,774.75x = 254,928,806,572.56
  5. Step 5: Solve for x
    x = 254,928,806,572.56/229,774.75
  6. Step 6: Final answer
    x = 1,109,472.68

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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.