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Finding the Third Proportional to 260,675 and 571,173

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Solution

The third proportional to 260,675 and 571,173 is: 1,251,514.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,675 : 571,173 = 571,173 : x
  2. Step 2: Convert to fraction form
    260,675/571,173 = 571,173/x
  3. Step 3: Cross multiply
    260,675x = 571,173 × 571,173
  4. Step 4: Simplify right side
    260,675x = 326,238,595,929
  5. Step 5: Solve for x
    x = 326,238,595,929/260,675
  6. Step 6: Final answer
    x = 1,251,514.71

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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.