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Finding the Third Proportional to 246,774.94 and 538,170.75

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Solution

The third proportional to 246,774.94 and 538,170.75 is: 1,173,651.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    246,774.94 : 538,170.75 = 538,170.75 : x
  2. Step 2: Convert to fraction form
    246,774.94/538,170.75 = 538,170.75/x
  3. Step 3: Cross multiply
    246,774.94x = 538,170.75 × 538,170.75
  4. Step 4: Simplify right side
    246,774.94x = 289,627,756,155.56
  5. Step 5: Solve for x
    x = 289,627,756,155.56/246,774.94
  6. Step 6: Final answer
    x = 1,173,651.42

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.