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Finding the Third Proportional to 240,289.88 and 511,637.34

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Solution

The third proportional to 240,289.88 and 511,637.34 is: 1,089,404.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,289.88 : 511,637.34 = 511,637.34 : x
  2. Step 2: Convert to fraction form
    240,289.88/511,637.34 = 511,637.34/x
  3. Step 3: Cross multiply
    240,289.88x = 511,637.34 × 511,637.34
  4. Step 4: Simplify right side
    240,289.88x = 261,772,771,519.56
  5. Step 5: Solve for x
    x = 261,772,771,519.56/240,289.88
  6. Step 6: Final answer
    x = 1,089,404.09

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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.