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Finding the Third Proportional to 273,511.69 and 588,644.72

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Solution

The third proportional to 273,511.69 and 588,644.72 is: 1,266,865.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,511.69 : 588,644.72 = 588,644.72 : x
  2. Step 2: Convert to fraction form
    273,511.69/588,644.72 = 588,644.72/x
  3. Step 3: Cross multiply
    273,511.69x = 588,644.72 × 588,644.72
  4. Step 4: Simplify right side
    273,511.69x = 346,502,604,912.27
  5. Step 5: Solve for x
    x = 346,502,604,912.27/273,511.69
  6. Step 6: Final answer
    x = 1,266,865.81

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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.