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Finding the Third Proportional to 275,648 and 569,008

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Solution

The third proportional to 275,648 and 569,008 is: 1,174,578.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,648 : 569,008 = 569,008 : x
  2. Step 2: Convert to fraction form
    275,648/569,008 = 569,008/x
  3. Step 3: Cross multiply
    275,648x = 569,008 × 569,008
  4. Step 4: Simplify right side
    275,648x = 323,770,104,064
  5. Step 5: Solve for x
    x = 323,770,104,064/275,648
  6. Step 6: Final answer
    x = 1,174,578.10

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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.