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Finding the Third Proportional to 330,969 and 511,431.75

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Solution

The third proportional to 330,969 and 511,431.75 is: 790,292.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    330,969 : 511,431.75 = 511,431.75 : x
  2. Step 2: Convert to fraction form
    330,969/511,431.75 = 511,431.75/x
  3. Step 3: Cross multiply
    330,969x = 511,431.75 × 511,431.75
  4. Step 4: Simplify right side
    330,969x = 261,562,434,908.06
  5. Step 5: Solve for x
    x = 261,562,434,908.06/330,969
  6. Step 6: Final answer
    x = 790,292.85

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.