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Finding the Third Proportional to 215,956.13 and 471,217.50

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Solution

The third proportional to 215,956.13 and 471,217.50 is: 1,028,199.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,956.13 : 471,217.50 = 471,217.50 : x
  2. Step 2: Convert to fraction form
    215,956.13/471,217.50 = 471,217.50/x
  3. Step 3: Cross multiply
    215,956.13x = 471,217.50 × 471,217.50
  4. Step 4: Simplify right side
    215,956.13x = 222,045,932,306.25
  5. Step 5: Solve for x
    x = 222,045,932,306.25/215,956.13
  6. Step 6: Final answer
    x = 1,028,199.28

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.