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Finding the Third Proportional to 217,828.27 and 471,844.59

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Solution

The third proportional to 217,828.27 and 471,844.59 is: 1,022,077.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,828.27 : 471,844.59 = 471,844.59 : x
  2. Step 2: Convert to fraction form
    217,828.27/471,844.59 = 471,844.59/x
  3. Step 3: Cross multiply
    217,828.27x = 471,844.59 × 471,844.59
  4. Step 4: Simplify right side
    217,828.27x = 222,637,320,651.10
  5. Step 5: Solve for x
    x = 222,637,320,651.10/217,828.27
  6. Step 6: Final answer
    x = 1,022,077.28

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.