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Finding the Third Proportional to 324,222 and 485,037

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Solution

The third proportional to 324,222 and 485,037 is: 725,616.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,222 : 485,037 = 485,037 : x
  2. Step 2: Convert to fraction form
    324,222/485,037 = 485,037/x
  3. Step 3: Cross multiply
    324,222x = 485,037 × 485,037
  4. Step 4: Simplify right side
    324,222x = 235,260,891,369
  5. Step 5: Solve for x
    x = 235,260,891,369/324,222
  6. Step 6: Final answer
    x = 725,616.68

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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.