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Finding the Third Proportional to 246,532.50 and 512,016.75

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Solution

The third proportional to 246,532.50 and 512,016.75 is: 1,063,393.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    246,532.50 : 512,016.75 = 512,016.75 : x
  2. Step 2: Convert to fraction form
    246,532.50/512,016.75 = 512,016.75/x
  3. Step 3: Cross multiply
    246,532.50x = 512,016.75 × 512,016.75
  4. Step 4: Simplify right side
    246,532.50x = 262,161,152,280.56
  5. Step 5: Solve for x
    x = 262,161,152,280.56/246,532.50
  6. Step 6: Final answer
    x = 1,063,393.88

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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.