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Finding the Third Proportional to 429.05 and 932.98

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Solution

The third proportional to 429.05 and 932.98 is: 2,028.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    429.05 : 932.98 = 932.98 : x
  2. Step 2: Convert to fraction form
    429.05/932.98 = 932.98/x
  3. Step 3: Cross multiply
    429.05x = 932.98 × 932.98
  4. Step 4: Simplify right side
    429.05x = 870,445.27
  5. Step 5: Solve for x
    x = 870,445.27/429.05
  6. Step 6: Final answer
    x = 2,028.79

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.