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Finding the Third Proportional to 229,811.06 and 504,971.44

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Solution

The third proportional to 229,811.06 and 504,971.44 is: 1,109,590.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,811.06 : 504,971.44 = 504,971.44 : x
  2. Step 2: Convert to fraction form
    229,811.06/504,971.44 = 504,971.44/x
  3. Step 3: Cross multiply
    229,811.06x = 504,971.44 × 504,971.44
  4. Step 4: Simplify right side
    229,811.06x = 254,996,152,690.82
  5. Step 5: Solve for x
    x = 254,996,152,690.82/229,811.06
  6. Step 6: Final answer
    x = 1,109,590.42

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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.