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Finding the Third Proportional to 229,756.50 and 504,819

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Solution

The third proportional to 229,756.50 and 504,819 is: 1,109,183.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,756.50 : 504,819 = 504,819 : x
  2. Step 2: Convert to fraction form
    229,756.50/504,819 = 504,819/x
  3. Step 3: Cross multiply
    229,756.50x = 504,819 × 504,819
  4. Step 4: Simplify right side
    229,756.50x = 254,842,222,761
  5. Step 5: Solve for x
    x = 254,842,222,761/229,756.50
  6. Step 6: Final answer
    x = 1,109,183.95

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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.