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Finding the Third Proportional to 217,112 and 471,356

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Solution

The third proportional to 217,112 and 471,356 is: 1,023,326.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,112 : 471,356 = 471,356 : x
  2. Step 2: Convert to fraction form
    217,112/471,356 = 471,356/x
  3. Step 3: Cross multiply
    217,112x = 471,356 × 471,356
  4. Step 4: Simplify right side
    217,112x = 222,176,478,736
  5. Step 5: Solve for x
    x = 222,176,478,736/217,112
  6. Step 6: Final answer
    x = 1,023,326.57

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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.