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Finding the Third Proportional to 264,912.19 and 579,340.69

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Solution

The third proportional to 264,912.19 and 579,340.69 is: 1,266,969.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,912.19 : 579,340.69 = 579,340.69 : x
  2. Step 2: Convert to fraction form
    264,912.19/579,340.69 = 579,340.69/x
  3. Step 3: Cross multiply
    264,912.19x = 579,340.69 × 579,340.69
  4. Step 4: Simplify right side
    264,912.19x = 335,635,632,192.97
  5. Step 5: Solve for x
    x = 335,635,632,192.97/264,912.19
  6. Step 6: Final answer
    x = 1,266,969.39

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.