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Finding the Third Proportional to 275,942 and 563,548

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Solution

The third proportional to 275,942 and 563,548 is: 1,150,917.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,942 : 563,548 = 563,548 : x
  2. Step 2: Convert to fraction form
    275,942/563,548 = 563,548/x
  3. Step 3: Cross multiply
    275,942x = 563,548 × 563,548
  4. Step 4: Simplify right side
    275,942x = 317,586,348,304
  5. Step 5: Solve for x
    x = 317,586,348,304/275,942
  6. Step 6: Final answer
    x = 1,150,917.03

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.