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Finding the Third Proportional to 332,084 and 518,864

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Solution

The third proportional to 332,084 and 518,864 is: 810,698.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,084 : 518,864 = 518,864 : x
  2. Step 2: Convert to fraction form
    332,084/518,864 = 518,864/x
  3. Step 3: Cross multiply
    332,084x = 518,864 × 518,864
  4. Step 4: Simplify right side
    332,084x = 269,219,850,496
  5. Step 5: Solve for x
    x = 269,219,850,496/332,084
  6. Step 6: Final answer
    x = 810,698.05

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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.