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Finding the Third Proportional to 263,580 and 574,884

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Solution

The third proportional to 263,580 and 574,884 is: 1,253,856.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,580 : 574,884 = 574,884 : x
  2. Step 2: Convert to fraction form
    263,580/574,884 = 574,884/x
  3. Step 3: Cross multiply
    263,580x = 574,884 × 574,884
  4. Step 4: Simplify right side
    263,580x = 330,491,613,456
  5. Step 5: Solve for x
    x = 330,491,613,456/263,580
  6. Step 6: Final answer
    x = 1,253,856.94

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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.