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Finding the Third Proportional to 443.81 and 935.93

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Solution

The third proportional to 443.81 and 935.93 is: 1,973.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    443.81 : 935.93 = 935.93 : x
  2. Step 2: Convert to fraction form
    443.81/935.93 = 935.93/x
  3. Step 3: Cross multiply
    443.81x = 935.93 × 935.93
  4. Step 4: Simplify right side
    443.81x = 875,964.38
  5. Step 5: Solve for x
    x = 875,964.38/443.81
  6. Step 6: Final answer
    x = 1,973.73

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.