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Finding the Third Proportional to 246,408.75 and 534,642.75

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Solution

The third proportional to 246,408.75 and 534,642.75 is: 1,160,035.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    246,408.75 : 534,642.75 = 534,642.75 : x
  2. Step 2: Convert to fraction form
    246,408.75/534,642.75 = 534,642.75/x
  3. Step 3: Cross multiply
    246,408.75x = 534,642.75 × 534,642.75
  4. Step 4: Simplify right side
    246,408.75x = 285,842,870,127.56
  5. Step 5: Solve for x
    x = 285,842,870,127.56/246,408.75
  6. Step 6: Final answer
    x = 1,160,035.39

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.