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Finding the Third Proportional to 331,029.07 and 511,517.53

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Solution

The third proportional to 331,029.07 and 511,517.53 is: 790,414.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,029.07 : 511,517.53 = 511,517.53 : x
  2. Step 2: Convert to fraction form
    331,029.07/511,517.53 = 511,517.53/x
  3. Step 3: Cross multiply
    331,029.07x = 511,517.53 × 511,517.53
  4. Step 4: Simplify right side
    331,029.07x = 261,650,184,776.10
  5. Step 5: Solve for x
    x = 261,650,184,776.10/331,029.07
  6. Step 6: Final answer
    x = 790,414.52

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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.