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Finding the Third Proportional to 275,190.75 and 437,800.50

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Solution

The third proportional to 275,190.75 and 437,800.50 is: 696,496.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,190.75 : 437,800.50 = 437,800.50 : x
  2. Step 2: Convert to fraction form
    275,190.75/437,800.50 = 437,800.50/x
  3. Step 3: Cross multiply
    275,190.75x = 437,800.50 × 437,800.50
  4. Step 4: Simplify right side
    275,190.75x = 191,669,277,800.25
  5. Step 5: Solve for x
    x = 191,669,277,800.25/275,190.75
  6. Step 6: Final answer
    x = 696,496.08

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.