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Finding the Third Proportional to 431,841.38 and 929,292.75

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Solution

The third proportional to 431,841.38 and 929,292.75 is: 1,999,773.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,841.38 : 929,292.75 = 929,292.75 : x
  2. Step 2: Convert to fraction form
    431,841.38/929,292.75 = 929,292.75/x
  3. Step 3: Cross multiply
    431,841.38x = 929,292.75 × 929,292.75
  4. Step 4: Simplify right side
    431,841.38x = 863,585,015,202.56
  5. Step 5: Solve for x
    x = 863,585,015,202.56/431,841.38
  6. Step 6: Final answer
    x = 1,999,773.68

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.