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Finding the Third Proportional to 275,616 and 568,944

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Solution

The third proportional to 275,616 and 568,944 is: 1,174,450.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,616 : 568,944 = 568,944 : x
  2. Step 2: Convert to fraction form
    275,616/568,944 = 568,944/x
  3. Step 3: Cross multiply
    275,616x = 568,944 × 568,944
  4. Step 4: Simplify right side
    275,616x = 323,697,275,136
  5. Step 5: Solve for x
    x = 323,697,275,136/275,616
  6. Step 6: Final answer
    x = 1,174,450.23

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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.