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Finding the Third Proportional to 275,046 and 567,219

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Solution

The third proportional to 275,046 and 567,219 is: 1,169,758.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,046 : 567,219 = 567,219 : x
  2. Step 2: Convert to fraction form
    275,046/567,219 = 567,219/x
  3. Step 3: Cross multiply
    275,046x = 567,219 × 567,219
  4. Step 4: Simplify right side
    275,046x = 321,737,393,961
  5. Step 5: Solve for x
    x = 321,737,393,961/275,046
  6. Step 6: Final answer
    x = 1,169,758.49

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.