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Finding the Third Proportional to 214,857.56 and 447,357.94

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Solution

The third proportional to 214,857.56 and 447,357.94 is: 931,450.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,857.56 : 447,357.94 = 447,357.94 : x
  2. Step 2: Convert to fraction form
    214,857.56/447,357.94 = 447,357.94/x
  3. Step 3: Cross multiply
    214,857.56x = 447,357.94 × 447,357.94
  4. Step 4: Simplify right side
    214,857.56x = 200,129,124,244.25
  5. Step 5: Solve for x
    x = 200,129,124,244.25/214,857.56
  6. Step 6: Final answer
    x = 931,450.22

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.