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Finding the Third Proportional to 399.56 and 932.91

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Solution

The third proportional to 399.56 and 932.91 is: 2,178.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    399.56 : 932.91 = 932.91 : x
  2. Step 2: Convert to fraction form
    399.56/932.91 = 932.91/x
  3. Step 3: Cross multiply
    399.56x = 932.91 × 932.91
  4. Step 4: Simplify right side
    399.56x = 870,314.07
  5. Step 5: Solve for x
    x = 870,314.07/399.56
  6. Step 6: Final answer
    x = 2,178.17

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.