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Finding the Third Proportional to 324,237 and 517,976

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Solution

The third proportional to 324,237 and 517,976 is: 827,478.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,237 : 517,976 = 517,976 : x
  2. Step 2: Convert to fraction form
    324,237/517,976 = 517,976/x
  3. Step 3: Cross multiply
    324,237x = 517,976 × 517,976
  4. Step 4: Simplify right side
    324,237x = 268,299,136,576
  5. Step 5: Solve for x
    x = 268,299,136,576/324,237
  6. Step 6: Final answer
    x = 827,478.47

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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.