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Finding the Third Proportional to 270,265.50 and 423,960.75

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Solution

The third proportional to 270,265.50 and 423,960.75 is: 665,059.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,265.50 : 423,960.75 = 423,960.75 : x
  2. Step 2: Convert to fraction form
    270,265.50/423,960.75 = 423,960.75/x
  3. Step 3: Cross multiply
    270,265.50x = 423,960.75 × 423,960.75
  4. Step 4: Simplify right side
    270,265.50x = 179,742,717,540.56
  5. Step 5: Solve for x
    x = 179,742,717,540.56/270,265.50
  6. Step 6: Final answer
    x = 665,059.79

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.