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Finding the Third Proportional to 215,170 and 471,172

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Solution

The third proportional to 215,170 and 471,172 is: 1,031,756.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,170 : 471,172 = 471,172 : x
  2. Step 2: Convert to fraction form
    215,170/471,172 = 471,172/x
  3. Step 3: Cross multiply
    215,170x = 471,172 × 471,172
  4. Step 4: Simplify right side
    215,170x = 222,003,053,584
  5. Step 5: Solve for x
    x = 222,003,053,584/215,170
  6. Step 6: Final answer
    x = 1,031,756.53

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.