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Finding the Third Proportional to 263,536 and 574,775

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Solution

The third proportional to 263,536 and 574,775 is: 1,253,590.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,536 : 574,775 = 574,775 : x
  2. Step 2: Convert to fraction form
    263,536/574,775 = 574,775/x
  3. Step 3: Cross multiply
    263,536x = 574,775 × 574,775
  4. Step 4: Simplify right side
    263,536x = 330,366,300,625
  5. Step 5: Solve for x
    x = 330,366,300,625/263,536
  6. Step 6: Final answer
    x = 1,253,590.78

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.