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Finding the Third Proportional to 491,942 and 752,185

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Solution

The third proportional to 491,942 and 752,185 is: 1,150,099.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,942 : 752,185 = 752,185 : x
  2. Step 2: Convert to fraction form
    491,942/752,185 = 752,185/x
  3. Step 3: Cross multiply
    491,942x = 752,185 × 752,185
  4. Step 4: Simplify right side
    491,942x = 565,782,274,225
  5. Step 5: Solve for x
    x = 565,782,274,225/491,942
  6. Step 6: Final answer
    x = 1,150,099.55

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.