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Finding the Third Proportional to 311,662.50 and 672,532.50

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Solution

The third proportional to 311,662.50 and 672,532.50 is: 1,451,249.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,662.50 : 672,532.50 = 672,532.50 : x
  2. Step 2: Convert to fraction form
    311,662.50/672,532.50 = 672,532.50/x
  3. Step 3: Cross multiply
    311,662.50x = 672,532.50 × 672,532.50
  4. Step 4: Simplify right side
    311,662.50x = 452,299,963,556.25
  5. Step 5: Solve for x
    x = 452,299,963,556.25/311,662.50
  6. Step 6: Final answer
    x = 1,451,249.23

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.