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Finding the Third Proportional to 217,814.13 and 471,828

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Solution

The third proportional to 217,814.13 and 471,828 is: 1,022,071.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,814.13 : 471,828 = 471,828 : x
  2. Step 2: Convert to fraction form
    217,814.13/471,828 = 471,828/x
  3. Step 3: Cross multiply
    217,814.13x = 471,828 × 471,828
  4. Step 4: Simplify right side
    217,814.13x = 222,621,661,584
  5. Step 5: Solve for x
    x = 222,621,661,584/217,814.13
  6. Step 6: Final answer
    x = 1,022,071.74

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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.