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Finding the Third Proportional to 324,062 and 485,007

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Solution

The third proportional to 324,062 and 485,007 is: 725,885.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,062 : 485,007 = 485,007 : x
  2. Step 2: Convert to fraction form
    324,062/485,007 = 485,007/x
  3. Step 3: Cross multiply
    324,062x = 485,007 × 485,007
  4. Step 4: Simplify right side
    324,062x = 235,231,790,049
  5. Step 5: Solve for x
    x = 235,231,790,049/324,062
  6. Step 6: Final answer
    x = 725,885.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.