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Finding the Third Proportional to 263,542.88 and 577,872.75

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Solution

The third proportional to 263,542.88 and 577,872.75 is: 1,267,106.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,542.88 : 577,872.75 = 577,872.75 : x
  2. Step 2: Convert to fraction form
    263,542.88/577,872.75 = 577,872.75/x
  3. Step 3: Cross multiply
    263,542.88x = 577,872.75 × 577,872.75
  4. Step 4: Simplify right side
    263,542.88x = 333,936,915,192.56
  5. Step 5: Solve for x
    x = 333,936,915,192.56/263,542.88
  6. Step 6: Final answer
    x = 1,267,106.60

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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.