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Finding the Third Proportional to 324,463.50 and 484,002

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Solution

The third proportional to 324,463.50 and 484,002 is: 721,985.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,463.50 : 484,002 = 484,002 : x
  2. Step 2: Convert to fraction form
    324,463.50/484,002 = 484,002/x
  3. Step 3: Cross multiply
    324,463.50x = 484,002 × 484,002
  4. Step 4: Simplify right side
    324,463.50x = 234,257,936,004
  5. Step 5: Solve for x
    x = 234,257,936,004/324,463.50
  6. Step 6: Final answer
    x = 721,985.48

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.