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Finding the Third Proportional to 324,255 and 518,000

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Solution

The third proportional to 324,255 and 518,000 is: 827,509.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,255 : 518,000 = 518,000 : x
  2. Step 2: Convert to fraction form
    324,255/518,000 = 518,000/x
  3. Step 3: Cross multiply
    324,255x = 518,000 × 518,000
  4. Step 4: Simplify right side
    324,255x = 268,324,000,000
  5. Step 5: Solve for x
    x = 268,324,000,000/324,255
  6. Step 6: Final answer
    x = 827,509.21

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.