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Finding the Third Proportional to 324,336 and 485,202

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Solution

The third proportional to 324,336 and 485,202 is: 725,855.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,336 : 485,202 = 485,202 : x
  2. Step 2: Convert to fraction form
    324,336/485,202 = 485,202/x
  3. Step 3: Cross multiply
    324,336x = 485,202 × 485,202
  4. Step 4: Simplify right side
    324,336x = 235,420,980,804
  5. Step 5: Solve for x
    x = 235,420,980,804/324,336
  6. Step 6: Final answer
    x = 725,855.23

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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.