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Finding the Third Proportional to 246,231.14 and 530,455.71

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Solution

The third proportional to 246,231.14 and 530,455.71 is: 1,142,760.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    246,231.14 : 530,455.71 = 530,455.71 : x
  2. Step 2: Convert to fraction form
    246,231.14/530,455.71 = 530,455.71/x
  3. Step 3: Cross multiply
    246,231.14x = 530,455.71 × 530,455.71
  4. Step 4: Simplify right side
    246,231.14x = 281,383,261,266.21
  5. Step 5: Solve for x
    x = 281,383,261,266.21/246,231.14
  6. Step 6: Final answer
    x = 1,142,760.66

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.