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Finding the Third Proportional to 279,956.25 and 434,200.50

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Solution

The third proportional to 279,956.25 and 434,200.50 is: 673,426.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,956.25 : 434,200.50 = 434,200.50 : x
  2. Step 2: Convert to fraction form
    279,956.25/434,200.50 = 434,200.50/x
  3. Step 3: Cross multiply
    279,956.25x = 434,200.50 × 434,200.50
  4. Step 4: Simplify right side
    279,956.25x = 188,530,074,200.25
  5. Step 5: Solve for x
    x = 188,530,074,200.25/279,956.25
  6. Step 6: Final answer
    x = 673,426.92

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.