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Finding the Third Proportional to 838,372.50 and 1,185,144.75

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Solution

The third proportional to 838,372.50 and 1,185,144.75 is: 1,675,350.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    838,372.50 : 1,185,144.75 = 1,185,144.75 : x
  2. Step 2: Convert to fraction form
    838,372.50/1,185,144.75 = 1,185,144.75/x
  3. Step 3: Cross multiply
    838,372.50x = 1,185,144.75 × 1,185,144.75
  4. Step 4: Simplify right side
    838,372.50x = 1,404,568,078,452.56
  5. Step 5: Solve for x
    x = 1,404,568,078,452.56/838,372.50
  6. Step 6: Final answer
    x = 1,675,350.85

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.