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Finding the Third Proportional to 324,257 and 461,910

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Solution

The third proportional to 324,257 and 461,910 is: 657,999.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,257 : 461,910 = 461,910 : x
  2. Step 2: Convert to fraction form
    324,257/461,910 = 461,910/x
  3. Step 3: Cross multiply
    324,257x = 461,910 × 461,910
  4. Step 4: Simplify right side
    324,257x = 213,360,848,100
  5. Step 5: Solve for x
    x = 213,360,848,100/324,257
  6. Step 6: Final answer
    x = 657,999.20

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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.