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Finding the Third Proportional to 429.05 and 937.83

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Solution

The third proportional to 429.05 and 937.83 is: 2,049.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    429.05 : 937.83 = 937.83 : x
  2. Step 2: Convert to fraction form
    429.05/937.83 = 937.83/x
  3. Step 3: Cross multiply
    429.05x = 937.83 × 937.83
  4. Step 4: Simplify right side
    429.05x = 879,521.59
  5. Step 5: Solve for x
    x = 879,521.59/429.05
  6. Step 6: Final answer
    x = 2,049.94

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.