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Finding the Third Proportional to 217,814.75 and 471,829

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Solution

The third proportional to 217,814.75 and 471,829 is: 1,022,073.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,814.75 : 471,829 = 471,829 : x
  2. Step 2: Convert to fraction form
    217,814.75/471,829 = 471,829/x
  3. Step 3: Cross multiply
    217,814.75x = 471,829 × 471,829
  4. Step 4: Simplify right side
    217,814.75x = 222,622,605,241
  5. Step 5: Solve for x
    x = 222,622,605,241/217,814.75
  6. Step 6: Final answer
    x = 1,022,073.14

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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.