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Finding the Third Proportional to 300,847.50 and 423,299.25

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Solution

The third proportional to 300,847.50 and 423,299.25 is: 595,591.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,847.50 : 423,299.25 = 423,299.25 : x
  2. Step 2: Convert to fraction form
    300,847.50/423,299.25 = 423,299.25/x
  3. Step 3: Cross multiply
    300,847.50x = 423,299.25 × 423,299.25
  4. Step 4: Simplify right side
    300,847.50x = 179,182,255,050.56
  5. Step 5: Solve for x
    x = 179,182,255,050.56/300,847.50
  6. Step 6: Final answer
    x = 595,591.64

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.