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Finding the Third Proportional to 491,938 and 752,183

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Solution

The third proportional to 491,938 and 752,183 is: 1,150,102.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,938 : 752,183 = 752,183 : x
  2. Step 2: Convert to fraction form
    491,938/752,183 = 752,183/x
  3. Step 3: Cross multiply
    491,938x = 752,183 × 752,183
  4. Step 4: Simplify right side
    491,938x = 565,779,265,489
  5. Step 5: Solve for x
    x = 565,779,265,489/491,938
  6. Step 6: Final answer
    x = 1,150,102.79

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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.