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Finding the Third Proportional to 260,714 and 571,244

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Solution

The third proportional to 260,714 and 571,244 is: 1,251,638.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,714 : 571,244 = 571,244 : x
  2. Step 2: Convert to fraction form
    260,714/571,244 = 571,244/x
  3. Step 3: Cross multiply
    260,714x = 571,244 × 571,244
  4. Step 4: Simplify right side
    260,714x = 326,319,707,536
  5. Step 5: Solve for x
    x = 326,319,707,536/260,714
  6. Step 6: Final answer
    x = 1,251,638.61

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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.