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Finding the Third Proportional to 240,308.44 and 511,678.69

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Solution

The third proportional to 240,308.44 and 511,678.69 is: 1,089,495.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,308.44 : 511,678.69 = 511,678.69 : x
  2. Step 2: Convert to fraction form
    240,308.44/511,678.69 = 511,678.69/x
  3. Step 3: Cross multiply
    240,308.44x = 511,678.69 × 511,678.69
  4. Step 4: Simplify right side
    240,308.44x = 261,815,079,241.72
  5. Step 5: Solve for x
    x = 261,815,079,241.72/240,308.44
  6. Step 6: Final answer
    x = 1,089,495.99

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.