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Finding the Third Proportional to 324,238.50 and 517,977

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Solution

The third proportional to 324,238.50 and 517,977 is: 827,477.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,238.50 : 517,977 = 517,977 : x
  2. Step 2: Convert to fraction form
    324,238.50/517,977 = 517,977/x
  3. Step 3: Cross multiply
    324,238.50x = 517,977 × 517,977
  4. Step 4: Simplify right side
    324,238.50x = 268,300,172,529
  5. Step 5: Solve for x
    x = 268,300,172,529/324,238.50
  6. Step 6: Final answer
    x = 827,477.84

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.