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Finding the Third Proportional to 326,631 and 513,276.75

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Solution

The third proportional to 326,631 and 513,276.75 is: 806,576.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,631 : 513,276.75 = 513,276.75 : x
  2. Step 2: Convert to fraction form
    326,631/513,276.75 = 513,276.75/x
  3. Step 3: Cross multiply
    326,631x = 513,276.75 × 513,276.75
  4. Step 4: Simplify right side
    326,631x = 263,453,022,090.56
  5. Step 5: Solve for x
    x = 263,453,022,090.56/326,631
  6. Step 6: Final answer
    x = 806,576.91

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.