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Finding the Third Proportional to 383,822.50 and 811,932.50

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Solution

The third proportional to 383,822.50 and 811,932.50 is: 1,717,550.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,822.50 : 811,932.50 = 811,932.50 : x
  2. Step 2: Convert to fraction form
    383,822.50/811,932.50 = 811,932.50/x
  3. Step 3: Cross multiply
    383,822.50x = 811,932.50 × 811,932.50
  4. Step 4: Simplify right side
    383,822.50x = 659,234,384,556.25
  5. Step 5: Solve for x
    x = 659,234,384,556.25/383,822.50
  6. Step 6: Final answer
    x = 1,717,550.13

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.