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Finding the Third Proportional to 215,150 and 472,760

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Solution

The third proportional to 215,150 and 472,760 is: 1,038,819.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,150 : 472,760 = 472,760 : x
  2. Step 2: Convert to fraction form
    215,150/472,760 = 472,760/x
  3. Step 3: Cross multiply
    215,150x = 472,760 × 472,760
  4. Step 4: Simplify right side
    215,150x = 223,502,017,600
  5. Step 5: Solve for x
    x = 223,502,017,600/215,150
  6. Step 6: Final answer
    x = 1,038,819.51

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.