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Finding the Third Proportional to 275,646 and 569,004

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Solution

The third proportional to 275,646 and 569,004 is: 1,174,570.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,646 : 569,004 = 569,004 : x
  2. Step 2: Convert to fraction form
    275,646/569,004 = 569,004/x
  3. Step 3: Cross multiply
    275,646x = 569,004 × 569,004
  4. Step 4: Simplify right side
    275,646x = 323,765,552,016
  5. Step 5: Solve for x
    x = 323,765,552,016/275,646
  6. Step 6: Final answer
    x = 1,174,570.11

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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.