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Finding the Third Proportional to 264,580.31 and 580,546.69

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Solution

The third proportional to 264,580.31 and 580,546.69 is: 1,273,845.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,580.31 : 580,546.69 = 580,546.69 : x
  2. Step 2: Convert to fraction form
    264,580.31/580,546.69 = 580,546.69/x
  3. Step 3: Cross multiply
    264,580.31x = 580,546.69 × 580,546.69
  4. Step 4: Simplify right side
    264,580.31x = 337,034,456,367.22
  5. Step 5: Solve for x
    x = 337,034,456,367.22/264,580.31
  6. Step 6: Final answer
    x = 1,273,845.56

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Why These Related Problems?

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