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Finding the Third Proportional to 459.42 and 996.05

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Solution

The third proportional to 459.42 and 996.05 is: 2,159.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    459.42 : 996.05 = 996.05 : x
  2. Step 2: Convert to fraction form
    459.42/996.05 = 996.05/x
  3. Step 3: Cross multiply
    459.42x = 996.05 × 996.05
  4. Step 4: Simplify right side
    459.42x = 992,109.38
  5. Step 5: Solve for x
    x = 992,109.38/459.42
  6. Step 6: Final answer
    x = 2,159.47

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.