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Finding the Third Proportional to 324,237 and 517,974.75

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Solution

The third proportional to 324,237 and 517,974.75 is: 827,474.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,237 : 517,974.75 = 517,974.75 : x
  2. Step 2: Convert to fraction form
    324,237/517,974.75 = 517,974.75/x
  3. Step 3: Cross multiply
    324,237x = 517,974.75 × 517,974.75
  4. Step 4: Simplify right side
    324,237x = 268,297,841,637.56
  5. Step 5: Solve for x
    x = 268,297,841,637.56/324,237
  6. Step 6: Final answer
    x = 827,474.48

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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.