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Finding the Third Proportional to 275,998.50 and 563,607

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Solution

The third proportional to 275,998.50 and 563,607 is: 1,150,922.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,998.50 : 563,607 = 563,607 : x
  2. Step 2: Convert to fraction form
    275,998.50/563,607 = 563,607/x
  3. Step 3: Cross multiply
    275,998.50x = 563,607 × 563,607
  4. Step 4: Simplify right side
    275,998.50x = 317,652,850,449
  5. Step 5: Solve for x
    x = 317,652,850,449/275,998.50
  6. Step 6: Final answer
    x = 1,150,922.38

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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.