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Finding the Third Proportional to 331,993.69 and 712,374.75

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Solution

The third proportional to 331,993.69 and 712,374.75 is: 1,528,576.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,993.69 : 712,374.75 = 712,374.75 : x
  2. Step 2: Convert to fraction form
    331,993.69/712,374.75 = 712,374.75/x
  3. Step 3: Cross multiply
    331,993.69x = 712,374.75 × 712,374.75
  4. Step 4: Simplify right side
    331,993.69x = 507,477,784,437.56
  5. Step 5: Solve for x
    x = 507,477,784,437.56/331,993.69
  6. Step 6: Final answer
    x = 1,528,576.61

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.