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Finding the Third Proportional to 215,953.88 and 471,213

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Solution

The third proportional to 215,953.88 and 471,213 is: 1,028,190.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,953.88 : 471,213 = 471,213 : x
  2. Step 2: Convert to fraction form
    215,953.88/471,213 = 471,213/x
  3. Step 3: Cross multiply
    215,953.88x = 471,213 × 471,213
  4. Step 4: Simplify right side
    215,953.88x = 222,041,691,369
  5. Step 5: Solve for x
    x = 222,041,691,369/215,953.88
  6. Step 6: Final answer
    x = 1,028,190.35

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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.