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Finding the Third Proportional to 455.91 and 998.06

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Solution

The third proportional to 455.91 and 998.06 is: 2,184.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    455.91 : 998.06 = 998.06 : x
  2. Step 2: Convert to fraction form
    455.91/998.06 = 998.06/x
  3. Step 3: Cross multiply
    455.91x = 998.06 × 998.06
  4. Step 4: Simplify right side
    455.91x = 996,128.75
  5. Step 5: Solve for x
    x = 996,128.75/455.91
  6. Step 6: Final answer
    x = 2,184.94

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.