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Finding the Third Proportional to 332,080 and 518,856

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Solution

The third proportional to 332,080 and 518,856 is: 810,682.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,080 : 518,856 = 518,856 : x
  2. Step 2: Convert to fraction form
    332,080/518,856 = 518,856/x
  3. Step 3: Cross multiply
    332,080x = 518,856 × 518,856
  4. Step 4: Simplify right side
    332,080x = 269,211,548,736
  5. Step 5: Solve for x
    x = 269,211,548,736/332,080
  6. Step 6: Final answer
    x = 810,682.81

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.