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Finding the Third Proportional to 215,593.21 and 468,937.79

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Solution

The third proportional to 215,593.21 and 468,937.79 is: 1,019,988.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,593.21 : 468,937.79 = 468,937.79 : x
  2. Step 2: Convert to fraction form
    215,593.21/468,937.79 = 468,937.79/x
  3. Step 3: Cross multiply
    215,593.21x = 468,937.79 × 468,937.79
  4. Step 4: Simplify right side
    215,593.21x = 219,902,653,674.40
  5. Step 5: Solve for x
    x = 219,902,653,674.40/215,593.21
  6. Step 6: Final answer
    x = 1,019,988.79

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