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Finding the Third Proportional to 217,122 and 471,380

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Solution

The third proportional to 217,122 and 471,380 is: 1,023,383.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,122 : 471,380 = 471,380 : x
  2. Step 2: Convert to fraction form
    217,122/471,380 = 471,380/x
  3. Step 3: Cross multiply
    217,122x = 471,380 × 471,380
  4. Step 4: Simplify right side
    217,122x = 222,199,104,400
  5. Step 5: Solve for x
    x = 222,199,104,400/217,122
  6. Step 6: Final answer
    x = 1,023,383.65

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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.