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Finding the Third Proportional to 257,104 and 533,644

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Solution

The third proportional to 257,104 and 533,644 is: 1,107,629.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,104 : 533,644 = 533,644 : x
  2. Step 2: Convert to fraction form
    257,104/533,644 = 533,644/x
  3. Step 3: Cross multiply
    257,104x = 533,644 × 533,644
  4. Step 4: Simplify right side
    257,104x = 284,775,918,736
  5. Step 5: Solve for x
    x = 284,775,918,736/257,104
  6. Step 6: Final answer
    x = 1,107,629.28

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.