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Finding the Third Proportional to 257,645 and 567,616

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Solution

The third proportional to 257,645 and 567,616 is: 1,250,511.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,645 : 567,616 = 567,616 : x
  2. Step 2: Convert to fraction form
    257,645/567,616 = 567,616/x
  3. Step 3: Cross multiply
    257,645x = 567,616 × 567,616
  4. Step 4: Simplify right side
    257,645x = 322,187,923,456
  5. Step 5: Solve for x
    x = 322,187,923,456/257,645
  6. Step 6: Final answer
    x = 1,250,511.07

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.