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Finding the Third Proportional to 324,260 and 461,914

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Solution

The third proportional to 324,260 and 461,914 is: 658,004.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,260 : 461,914 = 461,914 : x
  2. Step 2: Convert to fraction form
    324,260/461,914 = 461,914/x
  3. Step 3: Cross multiply
    324,260x = 461,914 × 461,914
  4. Step 4: Simplify right side
    324,260x = 213,364,543,396
  5. Step 5: Solve for x
    x = 213,364,543,396/324,260
  6. Step 6: Final answer
    x = 658,004.51

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.