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Finding the Third Proportional to 459.75 and 956.75

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Solution

The third proportional to 459.75 and 956.75 is: 1,991.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    459.75 : 956.75 = 956.75 : x
  2. Step 2: Convert to fraction form
    459.75/956.75 = 956.75/x
  3. Step 3: Cross multiply
    459.75x = 956.75 × 956.75
  4. Step 4: Simplify right side
    459.75x = 915,370.56
  5. Step 5: Solve for x
    x = 915,370.56/459.75
  6. Step 6: Final answer
    x = 1,991.02

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.