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Finding the Third Proportional to 215,511 and 471,150

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Solution

The third proportional to 215,511 and 471,150 is: 1,030,027.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,511 : 471,150 = 471,150 : x
  2. Step 2: Convert to fraction form
    215,511/471,150 = 471,150/x
  3. Step 3: Cross multiply
    215,511x = 471,150 × 471,150
  4. Step 4: Simplify right side
    215,511x = 221,982,322,500
  5. Step 5: Solve for x
    x = 221,982,322,500/215,511
  6. Step 6: Final answer
    x = 1,030,027.81

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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.