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Finding the Third Proportional to 282,814.13 and 395,601.56

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Solution

The third proportional to 282,814.13 and 395,601.56 is: 553,369.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,814.13 : 395,601.56 = 395,601.56 : x
  2. Step 2: Convert to fraction form
    282,814.13/395,601.56 = 395,601.56/x
  3. Step 3: Cross multiply
    282,814.13x = 395,601.56 × 395,601.56
  4. Step 4: Simplify right side
    282,814.13x = 156,500,596,252.44
  5. Step 5: Solve for x
    x = 156,500,596,252.44/282,814.13
  6. Step 6: Final answer
    x = 553,369.09

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.