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Finding the Third Proportional to 264,877.75 and 580,141.63

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Solution

The third proportional to 264,877.75 and 580,141.63 is: 1,270,640.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,877.75 : 580,141.63 = 580,141.63 : x
  2. Step 2: Convert to fraction form
    264,877.75/580,141.63 = 580,141.63/x
  3. Step 3: Cross multiply
    264,877.75x = 580,141.63 × 580,141.63
  4. Step 4: Simplify right side
    264,877.75x = 336,564,305,057.64
  5. Step 5: Solve for x
    x = 336,564,305,057.64/264,877.75
  6. Step 6: Final answer
    x = 1,270,640.15

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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.