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Finding the Third Proportional to 400.56 and 926.94

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Solution

The third proportional to 400.56 and 926.94 is: 2,145.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    400.56 : 926.94 = 926.94 : x
  2. Step 2: Convert to fraction form
    400.56/926.94 = 926.94/x
  3. Step 3: Cross multiply
    400.56x = 926.94 × 926.94
  4. Step 4: Simplify right side
    400.56x = 859,213.13
  5. Step 5: Solve for x
    x = 859,213.13/400.56
  6. Step 6: Final answer
    x = 2,145.02

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.