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Finding the Third Proportional to 263,103.19 and 423,723.66

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Solution

The third proportional to 263,103.19 and 423,723.66 is: 682,400.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,103.19 : 423,723.66 = 423,723.66 : x
  2. Step 2: Convert to fraction form
    263,103.19/423,723.66 = 423,723.66/x
  3. Step 3: Cross multiply
    263,103.19x = 423,723.66 × 423,723.66
  4. Step 4: Simplify right side
    263,103.19x = 179,541,736,865.87
  5. Step 5: Solve for x
    x = 179,541,736,865.87/263,103.19
  6. Step 6: Final answer
    x = 682,400.46

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These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.