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Finding the Third Proportional to 275,197.50 and 598,995

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Solution

The third proportional to 275,197.50 and 598,995 is: 1,303,772.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,197.50 : 598,995 = 598,995 : x
  2. Step 2: Convert to fraction form
    275,197.50/598,995 = 598,995/x
  3. Step 3: Cross multiply
    275,197.50x = 598,995 × 598,995
  4. Step 4: Simplify right side
    275,197.50x = 358,795,010,025
  5. Step 5: Solve for x
    x = 358,795,010,025/275,197.50
  6. Step 6: Final answer
    x = 1,303,772.78

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.