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Finding the Third Proportional to 229,537.13 and 539,906.06

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Solution

The third proportional to 229,537.13 and 539,906.06 is: 1,269,940.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,537.13 : 539,906.06 = 539,906.06 : x
  2. Step 2: Convert to fraction form
    229,537.13/539,906.06 = 539,906.06/x
  3. Step 3: Cross multiply
    229,537.13x = 539,906.06 × 539,906.06
  4. Step 4: Simplify right side
    229,537.13x = 291,498,556,324.25
  5. Step 5: Solve for x
    x = 291,498,556,324.25/229,537.13
  6. Step 6: Final answer
    x = 1,269,940.78

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These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.