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Finding the Third Proportional to 491,125.50 and 733,662.75

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Solution

The third proportional to 491,125.50 and 733,662.75 is: 1,095,974.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,125.50 : 733,662.75 = 733,662.75 : x
  2. Step 2: Convert to fraction form
    491,125.50/733,662.75 = 733,662.75/x
  3. Step 3: Cross multiply
    491,125.50x = 733,662.75 × 733,662.75
  4. Step 4: Simplify right side
    491,125.50x = 538,261,030,737.56
  5. Step 5: Solve for x
    x = 538,261,030,737.56/491,125.50
  6. Step 6: Final answer
    x = 1,095,974.51

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.