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Finding the Third Proportional to 283,626.56 and 419,835.66

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Solution

The third proportional to 283,626.56 and 419,835.66 is: 621,457.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,626.56 : 419,835.66 = 419,835.66 : x
  2. Step 2: Convert to fraction form
    283,626.56/419,835.66 = 419,835.66/x
  3. Step 3: Cross multiply
    283,626.56x = 419,835.66 × 419,835.66
  4. Step 4: Simplify right side
    283,626.56x = 176,261,978,258.87
  5. Step 5: Solve for x
    x = 176,261,978,258.87/283,626.56
  6. Step 6: Final answer
    x = 621,457.94

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.