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Finding the Third Proportional to 326,475.25 and 462,375.25

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Solution

The third proportional to 326,475.25 and 462,375.25 is: 654,845.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,475.25 : 462,375.25 = 462,375.25 : x
  2. Step 2: Convert to fraction form
    326,475.25/462,375.25 = 462,375.25/x
  3. Step 3: Cross multiply
    326,475.25x = 462,375.25 × 462,375.25
  4. Step 4: Simplify right side
    326,475.25x = 213,790,871,812.56
  5. Step 5: Solve for x
    x = 213,790,871,812.56/326,475.25
  6. Step 6: Final answer
    x = 654,845.57

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.