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Finding the Third Proportional to 275,977.13 and 569,586.38

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Solution

The third proportional to 275,977.13 and 569,586.38 is: 1,175,563.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,977.13 : 569,586.38 = 569,586.38 : x
  2. Step 2: Convert to fraction form
    275,977.13/569,586.38 = 569,586.38/x
  3. Step 3: Cross multiply
    275,977.13x = 569,586.38 × 569,586.38
  4. Step 4: Simplify right side
    275,977.13x = 324,428,638,585.64
  5. Step 5: Solve for x
    x = 324,428,638,585.64/275,977.13
  6. Step 6: Final answer
    x = 1,175,563.51

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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.