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Finding the Third Proportional to 217,032 and 483,864

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Solution

The third proportional to 217,032 and 483,864 is: 1,078,755.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,032 : 483,864 = 483,864 : x
  2. Step 2: Convert to fraction form
    217,032/483,864 = 483,864/x
  3. Step 3: Cross multiply
    217,032x = 483,864 × 483,864
  4. Step 4: Simplify right side
    217,032x = 234,124,370,496
  5. Step 5: Solve for x
    x = 234,124,370,496/217,032
  6. Step 6: Final answer
    x = 1,078,755.07

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.