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Finding the Third Proportional to 246,449.50 and 511,625.50

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Solution

The third proportional to 246,449.50 and 511,625.50 is: 1,062,126.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    246,449.50 : 511,625.50 = 511,625.50 : x
  2. Step 2: Convert to fraction form
    246,449.50/511,625.50 = 511,625.50/x
  3. Step 3: Cross multiply
    246,449.50x = 511,625.50 × 511,625.50
  4. Step 4: Simplify right side
    246,449.50x = 261,760,652,250.25
  5. Step 5: Solve for x
    x = 261,760,652,250.25/246,449.50
  6. Step 6: Final answer
    x = 1,062,126.94

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.