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Finding the Third Proportional to 429.05 and 935.93

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Solution

The third proportional to 429.05 and 935.93 is: 2,041.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    429.05 : 935.93 = 935.93 : x
  2. Step 2: Convert to fraction form
    429.05/935.93 = 935.93/x
  3. Step 3: Cross multiply
    429.05x = 935.93 × 935.93
  4. Step 4: Simplify right side
    429.05x = 875,964.38
  5. Step 5: Solve for x
    x = 875,964.38/429.05
  6. Step 6: Final answer
    x = 2,041.65

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.