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Finding the Third Proportional to 264,876.75 and 580,140.56

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Solution

The third proportional to 264,876.75 and 580,140.56 is: 1,270,640.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,876.75 : 580,140.56 = 580,140.56 : x
  2. Step 2: Convert to fraction form
    264,876.75/580,140.56 = 580,140.56/x
  3. Step 3: Cross multiply
    264,876.75x = 580,140.56 × 580,140.56
  4. Step 4: Simplify right side
    264,876.75x = 336,563,072,257.82
  5. Step 5: Solve for x
    x = 336,563,072,257.82/264,876.75
  6. Step 6: Final answer
    x = 1,270,640.30

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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.