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Finding the Third Proportional to 275,544 and 595,152

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Solution

The third proportional to 275,544 and 595,152 is: 1,285,478.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,544 : 595,152 = 595,152 : x
  2. Step 2: Convert to fraction form
    275,544/595,152 = 595,152/x
  3. Step 3: Cross multiply
    275,544x = 595,152 × 595,152
  4. Step 4: Simplify right side
    275,544x = 354,205,903,104
  5. Step 5: Solve for x
    x = 354,205,903,104/275,544
  6. Step 6: Final answer
    x = 1,285,478.56

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.