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Finding the Third Proportional to 257,049 and 573,714

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Solution

The third proportional to 257,049 and 573,714 is: 1,280,486.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,049 : 573,714 = 573,714 : x
  2. Step 2: Convert to fraction form
    257,049/573,714 = 573,714/x
  3. Step 3: Cross multiply
    257,049x = 573,714 × 573,714
  4. Step 4: Simplify right side
    257,049x = 329,147,753,796
  5. Step 5: Solve for x
    x = 329,147,753,796/257,049
  6. Step 6: Final answer
    x = 1,280,486.42

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.