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Finding the Third Proportional to 332,076 and 518,850

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Solution

The third proportional to 332,076 and 518,850 is: 810,673.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,076 : 518,850 = 518,850 : x
  2. Step 2: Convert to fraction form
    332,076/518,850 = 518,850/x
  3. Step 3: Cross multiply
    332,076x = 518,850 × 518,850
  4. Step 4: Simplify right side
    332,076x = 269,205,322,500
  5. Step 5: Solve for x
    x = 269,205,322,500/332,076
  6. Step 6: Final answer
    x = 810,673.83

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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.