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Finding the Third Proportional to 234,315.56 and 485,245.69

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Solution

The third proportional to 234,315.56 and 485,245.69 is: 1,004,898.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,315.56 : 485,245.69 = 485,245.69 : x
  2. Step 2: Convert to fraction form
    234,315.56/485,245.69 = 485,245.69/x
  3. Step 3: Cross multiply
    234,315.56x = 485,245.69 × 485,245.69
  4. Step 4: Simplify right side
    234,315.56x = 235,463,377,237.35
  5. Step 5: Solve for x
    x = 235,463,377,237.35/234,315.56
  6. Step 6: Final answer
    x = 1,004,898.59

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.