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Finding the Third Proportional to 214,764.75 and 485,220.38

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Solution

The third proportional to 214,764.75 and 485,220.38 is: 1,096,263.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,764.75 : 485,220.38 = 485,220.38 : x
  2. Step 2: Convert to fraction form
    214,764.75/485,220.38 = 485,220.38/x
  3. Step 3: Cross multiply
    214,764.75x = 485,220.38 × 485,220.38
  4. Step 4: Simplify right side
    214,764.75x = 235,438,812,315.14
  5. Step 5: Solve for x
    x = 235,438,812,315.14/214,764.75
  6. Step 6: Final answer
    x = 1,096,263.76

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Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.