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Finding the Third Proportional to 263,434 and 577,042

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Solution

The third proportional to 263,434 and 577,042 is: 1,263,988.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,434 : 577,042 = 577,042 : x
  2. Step 2: Convert to fraction form
    263,434/577,042 = 577,042/x
  3. Step 3: Cross multiply
    263,434x = 577,042 × 577,042
  4. Step 4: Simplify right side
    263,434x = 332,977,469,764
  5. Step 5: Solve for x
    x = 332,977,469,764/263,434
  6. Step 6: Final answer
    x = 1,263,988.21

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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.