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Finding the Third Proportional to 260,674 and 571,167

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Solution

The third proportional to 260,674 and 571,167 is: 1,251,493.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,674 : 571,167 = 571,167 : x
  2. Step 2: Convert to fraction form
    260,674/571,167 = 571,167/x
  3. Step 3: Cross multiply
    260,674x = 571,167 × 571,167
  4. Step 4: Simplify right side
    260,674x = 326,231,741,889
  5. Step 5: Solve for x
    x = 326,231,741,889/260,674
  6. Step 6: Final answer
    x = 1,251,493.21

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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.