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Finding the Third Proportional to 324,262 and 461,917

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Solution

The third proportional to 324,262 and 461,917 is: 658,009.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,262 : 461,917 = 461,917 : x
  2. Step 2: Convert to fraction form
    324,262/461,917 = 461,917/x
  3. Step 3: Cross multiply
    324,262x = 461,917 × 461,917
  4. Step 4: Simplify right side
    324,262x = 213,367,314,889
  5. Step 5: Solve for x
    x = 213,367,314,889/324,262
  6. Step 6: Final answer
    x = 658,009.00

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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.