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Finding the Third Proportional to 273,530.25 and 589,200.75

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Solution

The third proportional to 273,530.25 and 589,200.75 is: 1,269,174.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,530.25 : 589,200.75 = 589,200.75 : x
  2. Step 2: Convert to fraction form
    273,530.25/589,200.75 = 589,200.75/x
  3. Step 3: Cross multiply
    273,530.25x = 589,200.75 × 589,200.75
  4. Step 4: Simplify right side
    273,530.25x = 347,157,523,800.56
  5. Step 5: Solve for x
    x = 347,157,523,800.56/273,530.25
  6. Step 6: Final answer
    x = 1,269,174.15

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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.