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Finding the Third Proportional to 264,877.55 and 580,141.31

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Solution

The third proportional to 264,877.55 and 580,141.31 is: 1,270,639.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,877.55 : 580,141.31 = 580,141.31 : x
  2. Step 2: Convert to fraction form
    264,877.55/580,141.31 = 580,141.31/x
  3. Step 3: Cross multiply
    264,877.55x = 580,141.31 × 580,141.31
  4. Step 4: Simplify right side
    264,877.55x = 336,563,942,469.22
  5. Step 5: Solve for x
    x = 336,563,942,469.22/264,877.55
  6. Step 6: Final answer
    x = 1,270,639.76

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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.