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Finding the Third Proportional to 324,837 and 499,941

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Solution

The third proportional to 324,837 and 499,941 is: 769,435.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,837 : 499,941 = 499,941 : x
  2. Step 2: Convert to fraction form
    324,837/499,941 = 499,941/x
  3. Step 3: Cross multiply
    324,837x = 499,941 × 499,941
  4. Step 4: Simplify right side
    324,837x = 249,941,003,481
  5. Step 5: Solve for x
    x = 249,941,003,481/324,837
  6. Step 6: Final answer
    x = 769,435.14

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.