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Finding the Third Proportional to 270,596.81 and 584,553.94

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Solution

The third proportional to 270,596.81 and 584,553.94 is: 1,262,776.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,596.81 : 584,553.94 = 584,553.94 : x
  2. Step 2: Convert to fraction form
    270,596.81/584,553.94 = 584,553.94/x
  3. Step 3: Cross multiply
    270,596.81x = 584,553.94 × 584,553.94
  4. Step 4: Simplify right side
    270,596.81x = 341,703,305,846.75
  5. Step 5: Solve for x
    x = 341,703,305,846.75/270,596.81
  6. Step 6: Final answer
    x = 1,262,776.54

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.